72890435142720 has 168 divisors, whose sum is σ = 269998320313176. Its totient is φ = 17942260948992.

The previous prime is 72890435142691. The next prime is 72890435142773. The reversal of 72890435142720 is 2724153409827.

72890435142720 is a `hidden beast` number, since 7 + 2 + 89 + 0 + 4 + 3 + 514 + 27 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15494174277696 + 57396260865024 = 3936264^2 + 7576032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973392517 + ... + 973467396.

It is an arithmetic number, because the mean of its divisors is an integer number (1607132859007).

Almost surely, 2^{72890435142720} is an apocalyptic number.

It is an amenable number.

72890435142720 is an abundant number, since it is smaller than the sum of its proper divisors (197107885170456).

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

72890435142720 is a wasteful number, since it uses less digits than its factorization.

72890435142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946859949 (or 1946859936 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 72890435142720 in words is "seventy-two trillion, eight hundred ninety billion, four hundred thirty-five million, one hundred forty-two thousand, seven hundred twenty".