72642672 has 60 divisors (see below), whose sum is σ = 209869504. Its totient is φ = 23431680.

The previous prime is 72642667. The next prime is 72642677. The reversal of 72642672 is 27624627.

72642672 is a `hidden beast` number, since 7 + 2 + 642 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72642667) and next prime (72642677).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72642677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3673 + ... + 12600.

Almost surely, 2^72642672 is an apocalyptic number.

72642672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72642672 is an abundant number, since it is smaller than the sum of its proper divisors (137226832).

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

72642672 is a wasteful number, since it uses less digits than its factorization.

72642672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16318 (or 16309 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 72642672 is about 8523.0670535905. The cubic root of 72642672 is about 417.2508884786.

The spelling of 72642672 in words is "seventy-two million, six hundred forty-two thousand, six hundred seventy-two".