72582464 has 56 divisors (see below), whose sum is σ = 149352000. Its totient is φ = 34974720.

The previous prime is 72582431. The next prime is 72582467. The reversal of 72582464 is 46428527.

It is a super-2 number, since 2×72582464² = 10536428160622592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72582467) 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, 364637 + ... + 364835.

It is an arithmetic number, because the mean of its divisors is an integer number (2667000).

Almost surely, 2^72582464 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 72582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74676000).

72582464 is an abundant number, since it is smaller than the sum of its proper divisors (76769536).

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

72582464 is a wasteful number, since it uses less digits than its factorization.

72582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 72582464 is about 8519.5342595708. The cubic root of 72582464 is about 417.1355807468.

The spelling of 72582464 in words is "seventy-two million, five hundred eighty-two thousand, four hundred sixty-four".