72485664 has 48 divisors (see below), whose sum is σ = 195427008. Its totient is φ = 23507712.

The previous prime is 72485641. The next prime is 72485681. The reversal of 72485664 is 46658427.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6652 + ... + 13755.

It is an arithmetic number, because the mean of its divisors is an integer number (4071396).

Almost surely, 2^72485664 is an apocalyptic number.

72485664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

72485664 is an abundant number, since it is smaller than the sum of its proper divisors (122941344).

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

72485664 is a wasteful number, since it uses less digits than its factorization.

72485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20457 (or 20449 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 72485664 is about 8513.8513024365. The cubic root of 72485664 is about 416.9500598660.

The spelling of 72485664 in words is "seventy-two million, four hundred eighty-five thousand, six hundred sixty-four".