72900658557 has 64 divisors (see below), whose sum is σ = 112891985920. Its totient is φ = 46441382400.

The previous prime is 72900658549. The next prime is 72900658591. The reversal of 72900658557 is 75585600927.

72900658557 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 0 + 6 + 585 + 57 = 666.

It is not a de Polignac number, because 72900658557 - 2³ = 72900658549 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 (72900658507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51229548 + ... + 51230970.

It is an arithmetic number, because the mean of its divisors is an integer number (1763937280).

Almost surely, 2^72900658557 is an apocalyptic number.

It is an amenable number.

72900658557 is a deficient number, since it is larger than the sum of its proper divisors (39991327363).

72900658557 is a wasteful number, since it uses less digits than its factorization.

72900658557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 72900658557 in words is "seventy-two billion, nine hundred million, six hundred fifty-eight thousand, five hundred fifty-seven".