72180304 has 80 divisors (see below), whose sum is σ = 168203520. Its totient is φ = 29352960.

The previous prime is 72180299. The next prime is 72180341. The reversal of 72180304 is 40308127.

72180304 = T₂₇₁ + T₂₇₂ + ... + T₇₆₇.

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, 230452 + ... + 230764.

It is an arithmetic number, because the mean of its divisors is an integer number (2102544).

Almost surely, 2^72180304 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 72180304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84101760).

72180304 is an abundant number, since it is smaller than the sum of its proper divisors (96023216).

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

72180304 is a wasteful number, since it uses less digits than its factorization.

72180304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 72180304 is about 8495.8992461069. The cubic root of 72180304 is about 416.3637412781.

The spelling of 72180304 in words is "seventy-two million, one hundred eighty thousand, three hundred four".