72350171136 has 320 divisors, whose sum is σ = 226492200000. Its totient is φ = 22762487808.

The previous prime is 72350171107. The next prime is 72350171249. The reversal of 72350171136 is 63117105327.

72350171136 is a `hidden beast` number, since 7 + 2 + 350 + 171 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72350171136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268959610 + ... + 268959878.

It is an arithmetic number, because the mean of its divisors is an integer number (707788125).

Almost surely, 2^72350171136 is an apocalyptic number.

72350171136 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 72350171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113246100000).

72350171136 is an abundant number, since it is smaller than the sum of its proper divisors (154142028864).

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

72350171136 is an frugal number, since it uses more digits than its factorization.

72350171136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 293 counting only the distinct ones).

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

The spelling of 72350171136 in words is "seventy-two billion, three hundred fifty million, one hundred seventy-one thousand, one hundred thirty-six".