72174317250 has 128 divisors (see below), whose sum is σ = 210084825600. Its totient is φ = 16496928000.

The previous prime is 72174317231. The next prime is 72174317317. The reversal of 72174317250 is 5271347127.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72174317199 and 72174317208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116970 + ... + 397530.

It is an arithmetic number, because the mean of its divisors is an integer number (1641287700).

Almost surely, 2^72174317250 is an apocalyptic number.

72174317250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72174317250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105042412800).

72174317250 is an abundant number, since it is smaller than the sum of its proper divisors (137910508350).

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

72174317250 is a wasteful number, since it uses less digits than its factorization.

72174317250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280602 (or 280578 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 72174317250 in words is "seventy-two billion, one hundred seventy-four million, three hundred seventeen thousand, two hundred fifty".