72187872 has 24 divisors (see below), whose sum is σ = 189493416. Its totient is φ = 24062592.

The previous prime is 72187861. The next prime is 72187889. The reversal of 72187872 is 27878127.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×72187872² = 10422177727776768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375883 + ... + 376074.

It is an arithmetic number, because the mean of its divisors is an integer number (7895559).

Almost surely, 2^72187872 is an apocalyptic number.

It is an amenable number.

72187872 is an abundant number, since it is smaller than the sum of its proper divisors (117305544).

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

72187872 is a wasteful number, since it uses less digits than its factorization.

72187872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751970 (or 751962 counting only the distinct ones).

The product of its digits is 87808, while the sum is 42.

The square root of 72187872 is about 8496.3446257788. The cubic root of 72187872 is about 416.3782924806.

The spelling of 72187872 in words is "seventy-two million, one hundred eighty-seven thousand, eight hundred seventy-two".