72883488 has 144 divisors (see below), whose sum is σ = 211667904. Its totient is φ = 21934080.

The previous prime is 72883477. The next prime is 72883493. The reversal of 72883488 is 88438827.

It is a super-2 number, since 2×72883488² = 10624005646092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026493 + ... + 1026563.

It is an arithmetic number, because the mean of its divisors is an integer number (1469916).

Almost surely, 2^72883488 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 72883488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105833952).

72883488 is an abundant number, since it is smaller than the sum of its proper divisors (138784416).

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

72883488 is a wasteful number, since it uses less digits than its factorization.

72883488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 72883488 is about 8537.1826734585. The cubic root of 72883488 is about 417.7114527609.

The spelling of 72883488 in words is "seventy-two million, eight hundred eighty-three thousand, four hundred eighty-eight".