72329581902400 has 189 divisors, whose sum is σ = 179156461028881. Its totient is φ = 28741191854080.

The previous prime is 72329581902371. The next prime is 72329581902407. The reversal of 72329581902400 is 420918592327.

It is a happy number.

The square root of 72329581902400 is 8504680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3570195134016 + 68759386768384 = 1889496^2 + 8292128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72329581902407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58852384986 + ... + 58852386214.

Almost surely, 2^{72329581902400} is an apocalyptic number.

72329581902400 is the 8504680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72329581902400

72329581902400 is an abundant number, since it is smaller than the sum of its proper divisors (106826879126481).

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

72329581902400 is an frugal number, since it uses more digits than its factorization.

72329581902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 72329581902400 in words is "seventy-two trillion, three hundred twenty-nine billion, five hundred eighty-one million, nine hundred two thousand, four hundred".