72952314880 has 352 divisors, whose sum is σ = 201479823360. Its totient is φ = 25161891840.

The previous prime is 72952314821. The next prime is 72952314949. The reversal of 72952314880 is 8841325927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51265849 + ... + 51267271.

Almost surely, 2^72952314880 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 72952314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100739911680).

72952314880 is an abundant number, since it is smaller than the sum of its proper divisors (128527508480).

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

72952314880 is a wasteful number, since it uses less digits than its factorization.

72952314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 72952314880 in words is "seventy-two billion, nine hundred fifty-two million, three hundred fourteen thousand, eight hundred eighty".