72064512 has 160 divisors (see below), whose sum is σ = 230297760. Its totient is φ = 22118400.

The previous prime is 72064477. The next prime is 72064571. The reversal of 72064512 is 21546027.

72064512 is a `hidden beast` number, since 7 + 2 + 0 + 645 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 179512 + ... + 179912.

It is an arithmetic number, because the mean of its divisors is an integer number (1439361).

Almost surely, 2^72064512 is an apocalyptic number.

72064512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115148880).

72064512 is an abundant number, since it is smaller than the sum of its proper divisors (158233248).

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

72064512 is a wasteful number, since it uses less digits than its factorization.

72064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72064512 is about 8489.0819291605. The cubic root of 72064512 is about 416.1409778598.

The spelling of 72064512 in words is "seventy-two million, sixty-four thousand, five hundred twelve".