80724 has 36 divisors (see below), whose sum is σ = 222432. Its totient is φ = 22320.

The previous prime is 80713. The next prime is 80737. The reversal of 80724 is 42708.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 80724.

It is a congruent number.

It is an unprimeable number.

80724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2589 + ... + 2619.

2⁸⁰⁷²⁴ is an apocalyptic number.

80724 is a gapful number since it is divisible by the number (84) 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 80724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111216).

80724 is an abundant number, since it is smaller than the sum of its proper divisors (141708).

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

80724 is a wasteful number, since it uses less digits than its factorization.

80724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 80724 is about 284.1196930873. The cubic root of 80724 is about 43.2182878675.

Multiplying 80724 by its sum of digits (21), we get a square (1695204 = 1302²).

80724 divided by its sum of digits (21) gives a square (3844 = 62²).

The spelling of 80724 in words is "eighty thousand, seven hundred twenty-four".