72258724253025 has 288 divisors, whose sum is σ = 139822443790848. Its totient is φ = 35576954265600.

The previous prime is 72258724252993. The next prime is 72258724253047. The reversal of 72258724253025 is 52035242785227.

72258724253025 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 87 + 2 + 4 + 2 + 530 + 25 = 666.

It is not a de Polignac number, because 72258724253025 - 2⁵ = 72258724252993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17299189737 + ... + 17299193913.

It is an arithmetic number, because the mean of its divisors is an integer number (485494596496).

Almost surely, 2^{72258724253025} is an apocalyptic number.

72258724253025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72258724253025 is a deficient number, since it is larger than the sum of its proper divisors (67563719537823).

72258724253025 is a wasteful number, since it uses less digits than its factorization.

72258724253025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 72258724253025 in words is "seventy-two trillion, two hundred fifty-eight billion, seven hundred twenty-four million, two hundred fifty-three thousand, twenty-five".