72194304 has 144 divisors (see below), whose sum is σ = 236711552. Its totient is φ = 19021824.

The previous prime is 72194279. The next prime is 72194323. The reversal of 72194304 is 40349127.

It is a happy 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, 69372 + ... + 70404.

Almost surely, 2^72194304 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 72194304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118355776).

72194304 is an abundant number, since it is smaller than the sum of its proper divisors (164517248).

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

72194304 is a wasteful number, since it uses less digits than its factorization.

72194304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72194304 is about 8496.7231330672. The cubic root of 72194304 is about 416.3906586651.

It can be divided in two parts, 72 and 194304, that added together give a triangular number (194376 = T₆₂₃).

The spelling of 72194304 in words is "seventy-two million, one hundred ninety-four thousand, three hundred four".