72915697266480 has 320 divisors, whose sum is σ = 255436533158400. Its totient is φ = 19115414922240.

The previous prime is 72915697266449. The next prime is 72915697266487. The reversal of 72915697266480 is 8466279651927.

72915697266480 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 56 + 97 + 2 + 6 + 6 + 480 = 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 = 72915697266399 and 72915697266408.

It is not an unprimeable number, because it can be changed into a prime (72915697266487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29072566 + ... + 31480874.

It is an arithmetic number, because the mean of its divisors is an integer number (798239166120).

Almost surely, 2^{72915697266480} 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 72915697266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127718266579200).

72915697266480 is an abundant number, since it is smaller than the sum of its proper divisors (182520835891920).

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

72915697266480 is a wasteful number, since it uses less digits than its factorization.

72915697266480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408569 (or 2408557 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 72915697266480 in words is "seventy-two trillion, nine hundred fifteen billion, six hundred ninety-seven million, two hundred sixty-six thousand, four hundred eighty".