72585376 has 96 divisors (see below), whose sum is σ = 161663040. Its totient is φ = 31911936.

The previous prime is 72585349. The next prime is 72585407. The reversal of 72585376 is 67358527.

It is a super-2 number, since 2×72585376² = 10537273618122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678315 + ... + 678421.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 2^72585376 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 72585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80831520).

72585376 is an abundant number, since it is smaller than the sum of its proper divisors (89077664).

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

72585376 is a wasteful number, since it uses less digits than its factorization.

72585376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The square root of 72585376 is about 8519.7051592177. The cubic root of 72585376 is about 417.1411591492.

The spelling of 72585376 in words is "seventy-two million, five hundred eighty-five thousand, three hundred seventy-six".