72864448 has 56 divisors (see below), whose sum is σ = 154332432. Its totient is φ = 34013184.

The previous prime is 72864401. The next prime is 72864461. The reversal of 72864448 is 84446827.

72864448 is nontrivially palindromic in base 3.

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, 209811 + ... + 210157.

Almost surely, 2^72864448 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 72864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77166216).

72864448 is an abundant number, since it is smaller than the sum of its proper divisors (81467984).

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

72864448 is a wasteful number, since it uses less digits than its factorization.

72864448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its digits is 344064, while the sum is 43.

The square root of 72864448 is about 8536.0674786461. The cubic root of 72864448 is about 417.6750754371.

The spelling of 72864448 in words is "seventy-two million, eight hundred sixty-four thousand, four hundred forty-eight".