72713460 has 48 divisors (see below), whose sum is σ = 204293376. Its totient is φ = 19324032.

The previous prime is 72713441. The next prime is 72713467. The reversal of 72713460 is 6431727.

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 (72713467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17109 + ... + 20931.

It is an arithmetic number, because the mean of its divisors is an integer number (4256112).

Almost surely, 2^72713460 is an apocalyptic number.

It is an amenable number.

72713460 is an abundant number, since it is smaller than the sum of its proper divisors (131579916).

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

72713460 is a wasteful number, since it uses less digits than its factorization.

72713460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72713460 is about 8527.2187728473. The cubic root of 72713460 is about 417.3863771025.

It can be divided in two parts, 7271 and 3460, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 72713460 in words is "seventy-two million, seven hundred thirteen thousand, four hundred sixty".