72151579248 has 160 divisors (see below), whose sum is σ = 230349256704. Its totient is φ = 18989223936.

The previous prime is 72151579193. The next prime is 72151579259. The reversal of 72151579248 is 84297515127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 72151579248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134086 + ... + 402842.

Almost surely, 2^72151579248 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 72151579248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115174628352).

72151579248 is an abundant number, since it is smaller than the sum of its proper divisors (158197677456).

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

72151579248 is a wasteful number, since it uses less digits than its factorization.

72151579248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268839 (or 268833 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 51.

The spelling of 72151579248 in words is "seventy-two billion, one hundred fifty-one million, five hundred seventy-nine thousand, two hundred forty-eight".