72410075136 has 156 divisors (see below), whose sum is σ = 239039853312. Its totient is φ = 20688519168.

The previous prime is 72410075107. The next prime is 72410075167. The reversal of 72410075136 is 63157001427.

It is a happy number.

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 72410075136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117745 + ... + 398351.

It is an arithmetic number, because the mean of its divisors is an integer number (1532306752).

Almost surely, 2^72410075136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72410075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119519926656).

72410075136 is an abundant number, since it is smaller than the sum of its proper divisors (166629778176).

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

72410075136 is a wasteful number, since it uses less digits than its factorization.

72410075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280644 (or 280619 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

It can be divided in two parts, 724100 and 75136, that added together give a square (799236 = 894²).

The spelling of 72410075136 in words is "seventy-two billion, four hundred ten million, seventy-five thousand, one hundred thirty-six".