72952300325927 has 32 divisors (see below), whose sum is σ = 83172555950400. Its totient is φ = 63377407744000.

The previous prime is 72952300325899. The next prime is 72952300325929.

72952300325927 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72952300325927 - 2²⁶ = 72952233217063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72952300325929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92947649 + ... + 93729237.

It is an arithmetic number, because the mean of its divisors is an integer number (2599142373450).

Almost surely, 2^{72952300325927} is an apocalyptic number.

72952300325927 is a deficient number, since it is larger than the sum of its proper divisors (10220255624473).

72952300325927 is a wasteful number, since it uses less digits than its factorization.

72952300325927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784627.

The product of its (nonzero) digits is 14288400, while the sum is 56.

The spelling of 72952300325927 in words is "seventy-two trillion, nine hundred fifty-two billion, three hundred million, three hundred twenty-five thousand, nine hundred twenty-seven".