72084580960 has 96 divisors (see below), whose sum is σ = 194732983872. Its totient is φ = 24701429760.

The previous prime is 72084580937. The next prime is 72084580999. The reversal of 72084580960 is 6908548027.

It is a congruent number.

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, 2193450 + ... + 2226070.

It is an arithmetic number, because the mean of its divisors is an integer number (2028468582).

Almost surely, 2^72084580960 is an apocalyptic number.

72084580960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72084580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97366491936).

72084580960 is an abundant number, since it is smaller than the sum of its proper divisors (122648402912).

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

72084580960 is a wasteful number, since it uses less digits than its factorization.

72084580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34616 (or 34608 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 72084580960 in words is "seventy-two billion, eighty-four million, five hundred eighty thousand, nine hundred sixty".