72375089096025 has 81 divisors (see below), whose sum is σ = 135518539020319. Its totient is φ = 36920287287840.

The previous prime is 72375089095993. The next prime is 72375089096129. The reversal of 72375089096025 is 52069098057327.

The square root of 72375089096025 is 8507355.

It is a perfect power (a square), and thus also a powerful number.

72375089096025 is a `hidden beast` number, since 7 + 2 + 37 + 508 + 9 + 0 + 96 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26055032074569 + 46320057021456 = 5104413^2 + 6805884^2 .

It is not a de Polignac number, because 72375089096025 - 2⁵ = 72375089095993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2935025146 + ... + 2935049804.

Almost surely, 2^{72375089096025} is an apocalyptic number.

72375089096025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72375089096025 is the 8507355-th square number.

72375089096025 is the 4253678-th centered octagonal number.

It is an amenable number.

72375089096025 is a deficient number, since it is larger than the sum of its proper divisors (63143449924294).

72375089096025 is an frugal number, since it uses more digits than its factorization.

72375089096025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49380 (or 24690 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 72375089096025 in words is "seventy-two trillion, three hundred seventy-five billion, eighty-nine million, ninety-six thousand, twenty-five".