72157794400 has 36 divisors (see below), whose sum is σ = 176155217532. Its totient is φ = 28863117440.

The previous prime is 72157794391. The next prime is 72157794409. The reversal of 72157794400 is 449775127.

It is an interprime number because it is at equal distance from previous prime (72157794391) and next prime (72157794409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72157794409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45097822 + ... + 45099421.

It is an arithmetic number, because the mean of its divisors is an integer number (4893200487).

Almost surely, 2^72157794400 is an apocalyptic number.

It is an amenable number.

72157794400 is an abundant number, since it is smaller than the sum of its proper divisors (103997423132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72157794400 is a wasteful number, since it uses less digits than its factorization.

72157794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90197263 (or 90197250 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 72157794400 in words is "seventy-two billion, one hundred fifty-seven million, seven hundred ninety-four thousand, four hundred".