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75267225 = 34521131109
BaseRepresentation
bin1000111110001…
…11110010011001
312020121222020000
410133013302121
5123232022400
611245123213
71602521655
oct437076231
9166558200
1075267225
1139539420
1221259509
1312794127
149dd3a65
15691b600
hex47c7c99

75267225 has 120 divisors (see below), whose sum is σ = 158442240. Its totient is φ = 34992000.

The previous prime is 75267193. The next prime is 75267233. The reversal of 75267225 is 52276257.

It is not a de Polignac number, because 75267225 - 25 = 75267193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75267225.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 690471 + ... + 690579.

It is an arithmetic number, because the mean of its divisors is an integer number (1320352).

Almost surely, 275267225 is an apocalyptic number.

75267225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75267225 is an abundant number, since it is smaller than the sum of its proper divisors (83175015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75267225 is a wasteful number, since it uses less digits than its factorization.

75267225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 75267225 is about 8675.6685621340. The cubic root of 75267225 is about 422.2165974038.

The spelling of 75267225 in words is "seventy-five million, two hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 31 33 45 55 75 81 93 99 109 135 155 165 225 275 279 297 327 341 405 465 495 545 675 775 825 837 891 981 1023 1199 1395 1485 1635 1705 2025 2325 2475 2511 2725 2943 3069 3379 3597 4185 4455 4905 5115 5995 6975 7425 8175 8525 8829 9207 10137 10791 12555 14715 15345 16895 17985 20925 22275 24525 25575 27621 29975 30411 32373 37169 44145 46035 50685 53955 62775 73575 76725 84475 89925 91233 97119 111507 138105 152055 161865 185845 220725 230175 253425 269775 273699 334521 456165 485595 557535 690525 760275 809325 929225 1003563 1368495 1672605 2280825 2427975 2787675 3010689 5017815 6842475 8363025 15053445 25089075 75267225