72792 has 32 divisors (see below), whose sum is σ = 202800. Its totient is φ = 24192.

The previous prime is 72767. The next prime is 72797. The reversal of 72792 is 29727.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72797) by changing a digit.

72792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 384.

2⁷²⁷⁹² is an apocalyptic number.

72792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101400).

72792 is an abundant number, since it is smaller than the sum of its proper divisors (130008).

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

72792 is a wasteful number, since it uses less digits than its factorization.

72792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 72792 is about 269.7999258710. The cubic root of 72792 is about 41.7536600231.

The spelling of 72792 in words is "seventy-two thousand, seven hundred ninety-two".