72782544 has 80 divisors (see below), whose sum is σ = 198987264. Its totient is φ = 22886400.

The previous prime is 72782527. The next prime is 72782579. The reversal of 72782544 is 44528727.

It is a super-2 number, since 2×72782544² = 10594597422223872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60412 + ... + 61604.

Almost surely, 2^72782544 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 72782544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99493632).

72782544 is an abundant number, since it is smaller than the sum of its proper divisors (126204720).

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

72782544 is a wasteful number, since it uses less digits than its factorization.

72782544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 72782544 is about 8531.2686043753. The cubic root of 72782544 is about 417.5185195031.

The spelling of 72782544 in words is "seventy-two million, seven hundred eighty-two thousand, five hundred forty-four".