72738393 has 48 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 36094464.

The previous prime is 72738389. The next prime is 72738433. The reversal of 72738393 is 39383727.

It is not a de Polignac number, because 72738393 - 2² = 72738389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72738343) 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, 31368 + ... + 33606.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^72738393 is an apocalyptic number.

It is an amenable number.

72738393 is a deficient number, since it is larger than the sum of its proper divisors (55963047).

72738393 is a wasteful number, since it uses less digits than its factorization.

72738393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2279 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 72738393 is about 8528.6806130843. The cubic root of 72738393 is about 417.4340780614.

The spelling of 72738393 in words is "seventy-two million, seven hundred thirty-eight thousand, three hundred ninety-three".