72720410 has 96 divisors (see below), whose sum is σ = 163995840. Its totient is φ = 23079168.

The previous prime is 72720409. The next prime is 72720413. The reversal of 72720410 is 1402727.

It is not an unprimeable number, because it can be changed into a prime (72720413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679577 + ... + 679683.

It is an arithmetic number, because the mean of its divisors is an integer number (1708290).

Almost surely, 2^72720410 is an apocalyptic number.

72720410 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72720410 is an abundant number, since it is smaller than the sum of its proper divisors (91275430).

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

72720410 is a wasteful number, since it uses less digits than its factorization.

72720410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 72720410 is about 8527.6262816800. The cubic root of 72720410 is about 417.3996746997.

The spelling of 72720410 in words is "seventy-two million, seven hundred twenty thousand, four hundred ten".