72346700160 has 192 divisors, whose sum is σ = 285511243680. Its totient is φ = 16536379392.

The previous prime is 72346700053. The next prime is 72346700161. The reversal of 72346700160 is 6100764327.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72346700161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856837 + ... + 937476.

Almost surely, 2^72346700160 is an apocalyptic number.

72346700160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72346700160 is an abundant number, since it is smaller than the sum of its proper divisors (213164543520).

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

72346700160 is a wasteful number, since it uses less digits than its factorization.

72346700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794345 (or 1794330 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 72346700160 in words is "seventy-two billion, three hundred forty-six million, seven hundred thousand, one hundred sixty".