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72257325 = 3527137633
BaseRepresentation
bin1000100111010…
…00111100101101
312000222001102020
410103220330231
5121444213300
611100420353
71535114520
oct423507455
9160861366
1072257325
1137872aa8
12202476b9
1311c7c11a
14984cbb7
1565248a0
hex44e8f2d

72257325 has 24 divisors (see below), whose sum is σ = 136532928. Its totient is φ = 33031680.

The previous prime is 72257303. The next prime is 72257333. The reversal of 72257325 is 52375227.

It is not a de Polignac number, because 72257325 - 28 = 72257069 is a prime.

It is a super-2 number, since 2×722573252 = 10442242032311250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68292 + ... + 69341.

It is an arithmetic number, because the mean of its divisors is an integer number (5688872).

Almost surely, 272257325 is an apocalyptic number.

72257325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72257325 is a deficient number, since it is larger than the sum of its proper divisors (64275603).

72257325 is a wasteful number, since it uses less digits than its factorization.

72257325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137653 (or 137648 counting only the distinct ones).

The product of its digits is 29400, while the sum is 33.

The square root of 72257325 is about 8500.4308714323. The cubic root of 72257325 is about 416.5117842123.

The spelling of 72257325 in words is "seventy-two million, two hundred fifty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 137633 412899 688165 963431 2064495 2890293 3440825 4817155 10322475 14451465 24085775 72257325