72934671163536 has 2400 divisors, whose sum is σ = 287303532730368. Its totient is φ = 17370723041280.

The previous prime is 72934671163493. The next prime is 72934671163573. The reversal of 72934671163536 is 63536117643927.

72934671163536 is a `hidden beast` number, since 7 + 2 + 9 + 3 + 467 + 1 + 163 + 5 + 3 + 6 = 666.

72934671163536 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 96346989270 + ... + 96346990026.

Almost surely, 2^{72934671163536} is an apocalyptic number.

72934671163536 is a gapful number since it is divisible by the number (76) 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 72934671163536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143651766365184).

72934671163536 is an abundant number, since it is smaller than the sum of its proper divisors (214368861566832).

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

72934671163536 is a wasteful number, since it uses less digits than its factorization.

72934671163536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 905 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 63.

The spelling of 72934671163536 in words is "seventy-two trillion, nine hundred thirty-four billion, six hundred seventy-one million, one hundred sixty-three thousand, five hundred thirty-six".