72774002789280 has 2304 divisors, whose sum is σ = 296228524032000. Its totient is φ = 16837411368960.

The previous prime is 72774002789269. The next prime is 72774002789291. The reversal of 72774002789280 is 8298720047727.

72774002789280 is a `hidden beast` number, since 7 + 2 + 77 + 400 + 2 + 7 + 89 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (72774002789269) and next prime (72774002789291).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 268538755545 + ... + 268538755815.

It is an arithmetic number, because the mean of its divisors is an integer number (128571408000).

Almost surely, 2^{72774002789280} 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 72774002789280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148114262016000).

72774002789280 is an abundant number, since it is smaller than the sum of its proper divisors (223454521242720).

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

72774002789280 is a wasteful number, since it uses less digits than its factorization.

72774002789280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 72774002789280 in words is "seventy-two trillion, seven hundred seventy-four billion, two million, seven hundred eighty-nine thousand, two hundred eighty".