72733940 has 24 divisors (see below), whose sum is σ = 153216672. Its totient is φ = 29003040.

The previous prime is 72733933. The next prime is 72733949. The reversal of 72733940 is 4933727.

It is a self number, because there is not a number n which added to its sum of digits gives 72733940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72733949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127 + ... + 12113.

It is an arithmetic number, because the mean of its divisors is an integer number (6384028).

Almost surely, 2^72733940 is an apocalyptic number.

It is an amenable number.

72733940 is an abundant number, since it is smaller than the sum of its proper divisors (80482732).

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

72733940 is a wasteful number, since it uses less digits than its factorization.

72733940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 72733940 is about 8528.4195487792. The cubic root of 72733940 is about 417.4255595345.

The spelling of 72733940 in words is "seventy-two million, seven hundred thirty-three thousand, nine hundred forty".