72724827 has 48 divisors (see below), whose sum is σ = 123075072. Its totient is φ = 37340160.

The previous prime is 72724823. The next prime is 72724829. The reversal of 72724827 is 72842727.

It is a happy number.

It is not a de Polignac number, because 72724827 - 2² = 72724823 is a prime.

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 not an unprimeable number, because it can be changed into a prime (72724823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139327 + ... + 139847.

It is an arithmetic number, because the mean of its divisors is an integer number (2564064).

Almost surely, 2^72724827 is an apocalyptic number.

72724827 is a deficient number, since it is larger than the sum of its proper divisors (50350245).

72724827 is a wasteful number, since it uses less digits than its factorization.

72724827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 571 counting only the distinct ones).

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

The square root of 72724827 is about 8527.8852595471. The cubic root of 72724827 is about 417.4081254086.

The spelling of 72724827 in words is "seventy-two million, seven hundred twenty-four thousand, eight hundred twenty-seven".