72475272 has 96 divisors (see below), whose sum is σ = 213408000. Its totient is φ = 22135680.

The previous prime is 72475261. The next prime is 72475283. The reversal of 72475272 is 27257427.

It is an interprime number because it is at equal distance from previous prime (72475261) and next prime (72475283).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 41554 + ... + 43262.

It is an arithmetic number, because the mean of its divisors is an integer number (2223000).

Almost surely, 2^72475272 is an apocalyptic number.

72475272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72475272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106704000).

72475272 is an abundant number, since it is smaller than the sum of its proper divisors (140932728).

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

72475272 is a wasteful number, since it uses less digits than its factorization.

72475272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 72475272 is about 8513.2409809661. The cubic root of 72475272 is about 416.9301333874.

The spelling of 72475272 in words is "seventy-two million, four hundred seventy-five thousand, two hundred seventy-two".