72967964160 has 640 divisors, whose sum is σ = 289655460864. Its totient is φ = 15258746880.

The previous prime is 72967964131. The next prime is 72967964161. The reversal of 72967964160 is 6146976927.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 72967964160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72967964161) 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, 91552882 + ... + 91553678.

Almost surely, 2^72967964160 is an apocalyptic number.

72967964160 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 72967964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144827730432).

72967964160 is an abundant number, since it is smaller than the sum of its proper divisors (216687496704).

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

72967964160 is a wasteful number, since it uses less digits than its factorization.

72967964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 72967964160 in words is "seventy-two billion, nine hundred sixty-seven million, nine hundred sixty-four thousand, one hundred sixty".