72733962 has 32 divisors (see below), whose sum is σ = 168597504. Its totient is φ = 20487600.

The previous prime is 72733949. The next prime is 72733963. The reversal of 72733962 is 26933727.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72733962.

It is not an unprimeable number, because it can be changed into a prime (72733963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9214 + ... + 15177.

It is an arithmetic number, because the mean of its divisors is an integer number (5268672).

Almost surely, 2^72733962 is an apocalyptic number.

72733962 is an abundant number, since it is smaller than the sum of its proper divisors (95863542).

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

72733962 is a wasteful number, since it uses less digits than its factorization.

72733962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24474.

The product of its digits is 95256, while the sum is 39.

The square root of 72733962 is about 8528.4208385844. The cubic root of 72733962 is about 417.4256016210.

The spelling of 72733962 in words is "seventy-two million, seven hundred thirty-three thousand, nine hundred sixty-two".