72201126858 has 128 divisors (see below), whose sum is σ = 168879169536. Its totient is φ = 20155392000.

The previous prime is 72201126847. The next prime is 72201126901. The reversal of 72201126858 is 85862110227.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148256691 + ... + 148257177.

It is an arithmetic number, because the mean of its divisors is an integer number (1319368512).

Almost surely, 2^72201126858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72201126858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84439584768).

72201126858 is an abundant number, since it is smaller than the sum of its proper divisors (96678042678).

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

72201126858 is a wasteful number, since it uses less digits than its factorization.

72201126858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988.

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 72201126858 in words is "seventy-two billion, two hundred one million, one hundred twenty-six thousand, eight hundred fifty-eight".