72578304 has 162 divisors, whose sum is σ = 224334110. Its totient is φ = 22560768.

The previous prime is 72578299. The next prime is 72578357. The reversal of 72578304 is 40387527.

It can be written as a sum of positive squares in 3 ways, for example, as 36578304 + 36000000 = 6048^2 + 6000^2 .

It is a super-2 number, since 2×72578304² = 10535220423032832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 665802 + ... + 665910.

Almost surely, 2^72578304 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 72578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112167055).

72578304 is an abundant number, since it is smaller than the sum of its proper divisors (151755806).

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

72578304 is a wasteful number, since it uses less digits than its factorization.

72578304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72578304 is about 8519.2901112710. The cubic root of 72578304 is about 417.1276113418.

The spelling of 72578304 in words is "seventy-two million, five hundred seventy-eight thousand, three hundred four".