72614304 has 144 divisors (see below), whose sum is σ = 238492800. Its totient is φ = 20528640.

The previous prime is 72614287. The next prime is 72614317. The reversal of 72614304 is 40341627.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 364797 + ... + 364995.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 2^72614304 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 72614304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119246400).

72614304 is an abundant number, since it is smaller than the sum of its proper divisors (165878496).

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

72614304 is a wasteful number, since it uses less digits than its factorization.

72614304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72614304 is about 8521.4027014336. The cubic root of 72614304 is about 417.1965672649.

The spelling of 72614304 in words is "seventy-two million, six hundred fourteen thousand, three hundred four".