7372872 has 48 divisors (see below), whose sum is σ = 21506940. Its totient is φ = 2268288.

The previous prime is 7372867. The next prime is 7372919. The reversal of 7372872 is 2782737.

It can be written as a sum of positive squares in 2 ways, for example, as 6320196 + 1052676 = 2514^2 + 1026^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3003 + ... + 4874.

Almost surely, 2^7372872 is an apocalyptic number.

7372872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7372872 is an abundant number, since it is smaller than the sum of its proper divisors (14134068).

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

7372872 is a wasteful number, since it uses less digits than its factorization.

7372872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7895 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 7372872 is about 2715.3032979761. The cubic root of 7372872 is about 194.6310974190.

It can be divided in two parts, 73728 and 72, that multiplied together give a 4-th power (5308416 = 48⁴).

The spelling of 7372872 in words is "seven million, three hundred seventy-two thousand, eight hundred seventy-two".