64072 has 8 divisors (see below), whose sum is σ = 120150. Its totient is φ = 32032.

The previous prime is 64067. The next prime is 64081. The reversal of 64072 is 27046.

64072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 12996 = 226^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

64072 is a modest number, since divided by 72 gives 64 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3997 + ... + 4012.

2⁶⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

64072 is a deficient number, since it is larger than the sum of its proper divisors (56078).

64072 is a wasteful number, since it uses less digits than its factorization.

64072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 8011 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 64072 is about 253.1244753081. The cubic root of 64072 is about 40.0149943785.

Subtracting from 64072 its product of nonzero digits (336), we obtain a palindrome (63736).

The spelling of 64072 in words is "sixty-four thousand, seventy-two".