72764448 has 48 divisors (see below), whose sum is σ = 192326400. Its totient is φ = 24087296.

The previous prime is 72764431. The next prime is 72764449. The reversal of 72764448 is 84446727.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (72764449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11761 + ... + 16847.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2^72764448 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 72764448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96163200).

72764448 is an abundant number, since it is smaller than the sum of its proper divisors (119561952).

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

72764448 is a wasteful number, since it uses less digits than its factorization.

72764448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5241 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 72764448 is about 8530.2079693288. The cubic root of 72764448 is about 417.4839139463.

The spelling of 72764448 in words is "seventy-two million, seven hundred sixty-four thousand, four hundred forty-eight".