72653248 has 28 divisors (see below), whose sum is σ = 146898360. Its totient is φ = 35639552.

The previous prime is 72653221. The next prime is 72653263. The reversal of 72653248 is 84235627.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7318 + ... + 14101.

It is an arithmetic number, because the mean of its divisors is an integer number (5246370).

Almost surely, 2^72653248 is an apocalyptic number.

It is an amenable number.

72653248 is an abundant number, since it is smaller than the sum of its proper divisors (74245112).

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

72653248 is a wasteful number, since it uses less digits than its factorization.

72653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21484 (or 21474 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 72653248 is about 8523.6874649414. The cubic root of 72653248 is about 417.2711365924.

The spelling of 72653248 in words is "seventy-two million, six hundred fifty-three thousand, two hundred forty-eight".