72956708354880 has 1792 divisors, whose sum is σ = 319808839680000. Its totient is φ = 15285425283072.

The previous prime is 72956708354821. The next prime is 72956708354891. The reversal of 72956708354880 is 8845380765927.

72956708354880 is a `hidden beast` number, since 7 + 2 + 9 + 5 + 6 + 70 + 8 + 3 + 548 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72956708354799 and 72956708354808.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 5287094221 + ... + 5287108019.

Almost surely, 2^{72956708354880} is an apocalyptic number.

72956708354880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72956708354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159904419840000).

72956708354880 is an abundant number, since it is smaller than the sum of its proper divisors (246852131325120).

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

72956708354880 is a wasteful number, since it uses less digits than its factorization.

72956708354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001 (or 13985 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 72956708354880 in words is "seventy-two trillion, nine hundred fifty-six billion, seven hundred eight million, three hundred fifty-four thousand, eight hundred eighty".