72483488 has 96 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 26991360.

The previous prime is 72483457. The next prime is 72483497. The reversal of 72483488 is 88438427.

It is a super-2 number, since 2×72483488² = 10507712065292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56033 + ... + 57311.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2^72483488 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 72483488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

72483488 is an abundant number, since it is smaller than the sum of its proper divisors (113311072).

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

72483488 is a wasteful number, since it uses less digits than its factorization.

72483488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1322 counting only the distinct ones).

The product of its digits is 344064, while the sum is 44.

The square root of 72483488 is about 8513.7235097224. The cubic root of 72483488 is about 416.9458875816.

The spelling of 72483488 in words is "seventy-two million, four hundred eighty-three thousand, four hundred eighty-eight".