72738 has 20 divisors (see below), whose sum is σ = 163350. Its totient is φ = 24192.

The previous prime is 72733. The next prime is 72739. The reversal of 72738 is 83727.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 13689 = 243^2 + 117^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72733) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63 + ... + 386.

2⁷²⁷³⁸ is an apocalyptic number.

72738 is an abundant number, since it is smaller than the sum of its proper divisors (90612).

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

72738 is a wasteful number, since it uses less digits than its factorization.

72738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72738 is about 269.6998331479. The cubic root of 72738 is about 41.7433326272.

The spelling of 72738 in words is "seventy-two thousand, seven hundred thirty-eight".