72088866435072 has 52 divisors (see below), whose sum is σ = 192213510765080. Its totient is φ = 24029622140928.

The previous prime is 72088866435071. The next prime is 72088866435121. The reversal of 72088866435072 is 27053466888027.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72088866434994 and 72088866435012.

It is not an unprimeable number, because it can be changed into a prime (72088866435071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2933291197 + ... + 2933315772.

Almost surely, 2^{72088866435072} is an apocalyptic number.

It is an amenable number.

72088866435072 is an abundant number, since it is smaller than the sum of its proper divisors (120124644330008).

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

72088866435072 is an equidigital number, since it uses as much as digits as its factorization.

72088866435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866606996 (or 5866606974 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 72088866435072 in words is "seventy-two trillion, eighty-eight billion, eight hundred sixty-six million, four hundred thirty-five thousand, seventy-two".