72684010 has 64 divisors (see below), whose sum is σ = 160123392. Its totient is φ = 23187456.

The previous prime is 72683999. The next prime is 72684037. The reversal of 72684010 is 1048627.

72684010 = 1071² + 1072² + ... + 1130².

It is a self number, because there is not a number n which added to its sum of digits gives 72684010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122274 + ... + 122866.

It is an arithmetic number, because the mean of its divisors is an integer number (2501928).

Almost surely, 2^72684010 is an apocalyptic number.

72684010 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72684010 is an abundant number, since it is smaller than the sum of its proper divisors (87439382).

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

72684010 is a wasteful number, since it uses less digits than its factorization.

72684010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 72684010 is about 8525.4917746720. The cubic root of 72684010 is about 417.3300203259.

The spelling of 72684010 in words is "seventy-two million, six hundred eighty-four thousand, ten".