72724 has 6 divisors (see below), whose sum is σ = 127274. Its totient is φ = 36360.

The previous prime is 72719. The next prime is 72727. The reversal of 72724 is 42727.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 900 = 268^2 + 30^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72695 and 72704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9087 + ... + 9094.

2⁷²⁷²⁴ is an apocalyptic number.

It is an amenable number.

72724 is a deficient number, since it is larger than the sum of its proper divisors (54550).

72724 is a wasteful number, since it uses less digits than its factorization.

72724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18185 (or 18183 counting only the distinct ones).

The product of its digits is 784, while the sum is 22.

The square root of 72724 is about 269.6738771183. The cubic root of 72724 is about 41.7406543199.

The spelling of 72724 in words is "seventy-two thousand, seven hundred twenty-four", and thus it is an iban number.