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72886425 = 35223293147
BaseRepresentation
bin1000101100000…
…10100010011001
312002011000101020
410112002202121
5122124331200
611122113053
71543344603
oct426024231
9162130336
1072886425
1138162717
12204ab789
131213c581
149974173
1565eaea0
hex4582899

72886425 has 96 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 34003200.

The previous prime is 72886423. The next prime is 72886439. The reversal of 72886425 is 52468827.

It is a happy number.

It is not a de Polignac number, because 72886425 - 21 = 72886423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72886423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1550752 + ... + 1550798.

It is an arithmetic number, because the mean of its divisors is an integer number (1428480).

Almost surely, 272886425 is an apocalyptic number.

72886425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72886425 is a deficient number, since it is larger than the sum of its proper divisors (64247655).

72886425 is a wasteful number, since it uses less digits than its factorization.

72886425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 72886425 is about 8537.3546839756. The cubic root of 72886425 is about 417.7170635519.

It can be divided in two parts, 728 and 86425, that added together give a triangular number (87153 = T417).

The spelling of 72886425 in words is "seventy-two million, eight hundred eighty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 15 23 25 29 31 47 69 75 87 93 115 141 145 155 235 345 435 465 575 667 705 713 725 775 899 1081 1175 1363 1457 1725 2001 2139 2175 2325 2697 3243 3335 3525 3565 4089 4371 4495 5405 6815 7285 10005 10695 13485 16215 16675 17825 20445 20677 21855 22475 27025 31349 33511 34075 36425 42253 50025 53475 62031 67425 81075 94047 100533 102225 103385 109275 126759 156745 167555 211265 310155 470235 502665 516925 633795 783725 837775 971819 1056325 1550775 2351175 2513325 2915457 3168975 4859095 14577285 24295475 72886425