72064032 has 24 divisors (see below), whose sum is σ = 189168336. Its totient is φ = 24021312.

The previous prime is 72064021. The next prime is 72064039. The reversal of 72064032 is 23046027.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 72063993 and 72064011.

It is not an unprimeable number, because it can be changed into a prime (72064039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375238 + ... + 375429.

It is an arithmetic number, because the mean of its divisors is an integer number (7882014).

Almost surely, 2^72064032 is an apocalyptic number.

It is an amenable number.

72064032 is an abundant number, since it is smaller than the sum of its proper divisors (117104304).

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

72064032 is a wasteful number, since it uses less digits than its factorization.

72064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750680 (or 750672 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 72064032 is about 8489.0536575051. The cubic root of 72064032 is about 416.1400539278.

The spelling of 72064032 in words is "seventy-two million, sixty-four thousand, thirty-two".