72200840 has 32 divisors (see below), whose sum is σ = 165521880. Its totient is φ = 28334592.

The previous prime is 72200833. The next prime is 72200851. The reversal of 72200840 is 4800227.

It can be written as a sum of positive squares in 4 ways, for example, as 70526404 + 1674436 = 8398^2 + 1294^2 .

It is a super-2 number, since 2×72200840² = 10425922593411200, which contains 22 as substring.

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, 14909 + ... + 19148.

Almost surely, 2^72200840 is an apocalyptic number.

It is an amenable number.

72200840 is an abundant number, since it is smaller than the sum of its proper divisors (93321040).

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

72200840 is a wasteful number, since it uses less digits than its factorization.

72200840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34121 (or 34117 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 72200840 is about 8497.1077432265. The cubic root of 72200840 is about 416.4032240481.

The spelling of 72200840 in words is "seventy-two million, two hundred thousand, eight hundred forty".