72762 has 16 divisors (see below), whose sum is σ = 148512. Its totient is φ = 23760.

The previous prime is 72739. The next prime is 72763. The reversal of 72762 is 26727.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72762.

It is not an unprimeable number, because it can be changed into a prime (72763) 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, 312 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (9282).

2⁷²⁷⁶² is an apocalyptic number.

72762 is an abundant number, since it is smaller than the sum of its proper divisors (75750).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74256).

72762 is a wasteful number, since it uses less digits than its factorization.

72762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its digits is 1176, while the sum is 24.

The square root of 72762 is about 269.7443233879. The cubic root of 72762 is about 41.7479232117.

The spelling of 72762 in words is "seventy-two thousand, seven hundred sixty-two".