72911840 has 48 divisors (see below), whose sum is σ = 179752608. Its totient is φ = 27895296.

The previous prime is 72911821. The next prime is 72911921. The reversal of 72911840 is 4811927.

It is a super-2 number, since 2×72911840² = 10632272824371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 72911797 and 72911806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6227 + ... + 13586.

It is an arithmetic number, because the mean of its divisors is an integer number (3744846).

Almost surely, 2^72911840 is an apocalyptic number.

It is an amenable number.

72911840 is an abundant number, since it is smaller than the sum of its proper divisors (106840768).

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

72911840 is a wasteful number, since it uses less digits than its factorization.

72911840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19851 (or 19843 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 72911840 is about 8538.8430129614. The cubic root of 72911840 is about 417.7656096082.

The spelling of 72911840 in words is "seventy-two million, nine hundred eleven thousand, eight hundred forty".