72159471120 has 160 divisors (see below), whose sum is σ = 244338361344. Its totient is φ = 17471116800.

The previous prime is 72159471113. The next prime is 72159471121. The reversal of 72159471120 is 2117495127.

It is a super-2 number, since 2×72159471120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72159471121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124189 + ... + 2157891.

Almost surely, 2^72159471120 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 72159471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122169180672).

72159471120 is an abundant number, since it is smaller than the sum of its proper divisors (172178890224).

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

72159471120 is a wasteful number, since it uses less digits than its factorization.

72159471120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34541 (or 34535 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 72159471120 in words is "seventy-two billion, one hundred fifty-nine million, four hundred seventy-one thousand, one hundred twenty".