72142864 has 20 divisors (see below), whose sum is σ = 139911804. Its totient is φ = 36036608.

The previous prime is 72142813. The next prime is 72142871. The reversal of 72142864 is 46824127.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60528400 + 11614464 = 7780^2 + 3408^2 .

It is a super-2 number, since 2×72142864² = 10409185652244992, which contains 22 as substring.

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, 25824 + ... + 28480.

Almost surely, 2^72142864 is an apocalyptic number.

It is an amenable number.

72142864 is a deficient number, since it is larger than the sum of its proper divisors (67768940).

72142864 is a wasteful number, since it uses less digits than its factorization.

72142864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4356 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 72142864 is about 8493.6955443435. The cubic root of 72142864 is about 416.2917393899.

The spelling of 72142864 in words is "seventy-two million, one hundred forty-two thousand, eight hundred sixty-four".