72892 has 6 divisors (see below), whose sum is σ = 127568. Its totient is φ = 36444.

The previous prime is 72889. The next prime is 72893. The reversal of 72892 is 29827.

It is a self number, because there is not a number n which added to its sum of digits gives 72892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9108 + ... + 9115.

2⁷²⁸⁹² is an apocalyptic number.

It is an amenable number.

72892 is a deficient number, since it is larger than the sum of its proper divisors (54676).

72892 is a wasteful number, since it uses less digits than its factorization.

72892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18227 (or 18225 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 72892 is about 269.9851847787. The cubic root of 72892 is about 41.7727713515.

Subtracting from 72892 its product of digits (2016), we obtain a triangular number (70876 = T₃₇₆).

It can be divided in two parts, 728 and 92, that added together give a triangular number (820 = T₄₀).

The spelling of 72892 in words is "seventy-two thousand, eight hundred ninety-two".