72165073088 has 56 divisors (see below), whose sum is σ = 145760145360. Its totient is φ = 35439206400.

The previous prime is 72165073069. The next prime is 72165073093. The reversal of 72165073088 is 88037056127.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4527020 + ... + 4542932.

Almost surely, 2^72165073088 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 72165073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72880072680).

72165073088 is an abundant number, since it is smaller than the sum of its proper divisors (73595072272).

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

72165073088 is a wasteful number, since it uses less digits than its factorization.

72165073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17185 (or 17175 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 72165073088 in words is "seventy-two billion, one hundred sixty-five million, seventy-three thousand, eighty-eight".