72526194816 has 128 divisors (see below), whose sum is σ = 197082408960. Its totient is φ = 23620654080.

The previous prime is 72526194751. The next prime is 72526194833. The reversal of 72526194816 is 61849162527.

It is a tau number, because it is divible by the number of its divisors (128).

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, 11673951 + ... + 11680161.

It is an arithmetic number, because the mean of its divisors is an integer number (1539706320).

Almost surely, 2^72526194816 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 72526194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98541204480).

72526194816 is an abundant number, since it is smaller than the sum of its proper divisors (124556214144).

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

72526194816 is a wasteful number, since it uses less digits than its factorization.

72526194816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6910 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 72526194816 in words is "seventy-two billion, five hundred twenty-six million, one hundred ninety-four thousand, eight hundred sixteen".