72827472 has 20 divisors (see below), whose sum is σ = 188137760. Its totient is φ = 24275808.

The previous prime is 72827471. The next prime is 72827519. The reversal of 72827472 is 27472827.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72827472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72827471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 758572 + ... + 758667.

It is an arithmetic number, because the mean of its divisors is an integer number (9406888).

Almost surely, 2^72827472 is an apocalyptic number.

It is an amenable number.

72827472 is an abundant number, since it is smaller than the sum of its proper divisors (115310288).

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

72827472 is a wasteful number, since it uses less digits than its factorization.

72827472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517250 (or 1517244 counting only the distinct ones).

The product of its digits is 87808, while the sum is 39.

The square root of 72827472 is about 8533.9013352628. The cubic root of 72827472 is about 417.6044119556.

The spelling of 72827472 in words is "seventy-two million, eight hundred twenty-seven thousand, four hundred seventy-two".