73500702912 has 896 divisors, whose sum is σ = 284616550400. Its totient is φ = 18059231232.

The previous prime is 73500702907. The next prime is 73500702923. The reversal of 73500702912 is 21920700537.

73500702912 is a `hidden beast` number, since 73 + 500 + 70 + 2 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218102808 + ... + 218103144.

It is an arithmetic number, because the mean of its divisors is an integer number (317652400).

Almost surely, 2^73500702912 is an apocalyptic number.

73500702912 is a gapful number since it is divisible by the number (72) 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 73500702912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142308275200).

73500702912 is an abundant number, since it is smaller than the sum of its proper divisors (211115847488).

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

73500702912 is a wasteful number, since it uses less digits than its factorization.

73500702912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 73500702912 in words is "seventy-three billion, five hundred million, seven hundred two thousand, nine hundred twelve".