72713820 has 24 divisors (see below), whose sum is σ = 203598864. Its totient is φ = 19390336.

The previous prime is 72713807. The next prime is 72713821. The reversal of 72713820 is 2831727.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72713821) 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, 605889 + ... + 606008.

It is an arithmetic number, because the mean of its divisors is an integer number (8483286).

Almost surely, 2^72713820 is an apocalyptic number.

It is an amenable number.

72713820 is an abundant number, since it is smaller than the sum of its proper divisors (130885044).

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

72713820 is a wasteful number, since it uses less digits than its factorization.

72713820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211909 (or 1211907 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 72713820 is about 8527.2398816968. The cubic root of 72713820 is about 417.3870659197.

The spelling of 72713820 in words is "seventy-two million, seven hundred thirteen thousand, eight hundred twenty".