72155612116128 has 96 divisors (see below), whose sum is σ = 191338937366976. Its totient is φ = 23807110412288.

The previous prime is 72155612116103. The next prime is 72155612116177. The reversal of 72155612116128 is 82161121655127.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9310450 + ... + 15198542.

It is an arithmetic number, because the mean of its divisors is an integer number (1993113930906).

Almost surely, 2^{72155612116128} 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 72155612116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95669468683488).

72155612116128 is an abundant number, since it is smaller than the sum of its proper divisors (119183325250848).

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

72155612116128 is a wasteful number, since it uses less digits than its factorization.

72155612116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889406 (or 5889398 counting only the distinct ones).

The product of its digits is 403200, while the sum is 48.

The spelling of 72155612116128 in words is "seventy-two trillion, one hundred fifty-five billion, six hundred twelve million, one hundred sixteen thousand, one hundred twenty-eight".