72493680 has 80 divisors (see below), whose sum is σ = 256840704. Its totient is φ = 16569600.

The previous prime is 72493613. The next prime is 72493691. The reversal of 72493680 is 8639427.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19896 + ... + 23255.

Almost surely, 2^72493680 is an apocalyptic number.

72493680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72493680 is an abundant number, since it is smaller than the sum of its proper divisors (184347024).

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

72493680 is a wasteful number, since it uses less digits than its factorization.

72493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43174 (or 43168 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 72493680 is about 8514.3220516962. The cubic root of 72493680 is about 416.9654291050.

The spelling of 72493680 in words is "seventy-two million, four hundred ninety-three thousand, six hundred eighty".