72977561070480 has 480 divisors, whose sum is σ = 286826495679360. Its totient is φ = 17081475747840.

The previous prime is 72977561070467. The next prime is 72977561070497. The reversal of 72977561070480 is 8407016577927.

72977561070480 is a `hidden beast` number, since 7 + 2 + 9 + 7 + 7 + 5 + 610 + 7 + 0 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317364 + ... + 12085356.

It is an arithmetic number, because the mean of its divisors is an integer number (597555199332).

Almost surely, 2^{72977561070480} 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 72977561070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143413247839680).

72977561070480 is an abundant number, since it is smaller than the sum of its proper divisors (213848934608880).

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

72977561070480 is a wasteful number, since it uses less digits than its factorization.

72977561070480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768061 (or 11768043 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 72977561070480 in words is "seventy-two trillion, nine hundred seventy-seven billion, five hundred sixty-one million, seventy thousand, four hundred eighty".