72375664 has 60 divisors (see below), whose sum is σ = 155521296. Its totient is φ = 32513536.

The previous prime is 72375661. The next prime is 72375671. The reversal of 72375664 is 46657327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72375661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143637 + ... + 144139.

Almost surely, 2^72375664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72375664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760648).

72375664 is an abundant number, since it is smaller than the sum of its proper divisors (83145632).

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

72375664 is a wasteful number, since it uses less digits than its factorization.

72375664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 545 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 72375664 is about 8507.3887885767. The cubic root of 72375664 is about 416.7390400861.

The spelling of 72375664 in words is "seventy-two million, three hundred seventy-five thousand, six hundred sixty-four".