72939658401 has 24 divisors (see below), whose sum is σ = 105792226176. Its totient is φ = 48425856480.

The previous prime is 72939658399. The next prime is 72939658471. The reversal of 72939658401 is 10485693927.

72939658401 is a `hidden beast` number, since 7 + 29 + 39 + 6 + 584 + 0 + 1 = 666.

It is not a de Polignac number, because 72939658401 - 2¹ = 72939658399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72939658471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7221711 + ... + 7231803.

It is an arithmetic number, because the mean of its divisors is an integer number (4408009424).

It is a 2-persistent number, because it is pandigital, and so is 2⋅72939658401 = 145879316802, but 3⋅72939658401 = 218818975203 is not.

Almost surely, 2^72939658401 is an apocalyptic number.

It is an amenable number.

72939658401 is a deficient number, since it is larger than the sum of its proper divisors (32852567775).

72939658401 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (72939658400) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (13330).

72939658401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 72939658401 in words is "seventy-two billion, nine hundred thirty-nine million, six hundred fifty-eight thousand, four hundred one".