72161700072 has 64 divisors (see below), whose sum is σ = 224919590400. Its totient is φ = 18743298240.

The previous prime is 72161700049. The next prime is 72161700073. The reversal of 72161700072 is 27000716127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72161700073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19522422 + ... + 19526117.

It is an arithmetic number, because the mean of its divisors is an integer number (3514368600).

Almost surely, 2^72161700072 is an apocalyptic number.

It is an amenable number.

72161700072 is an abundant number, since it is smaller than the sum of its proper divisors (152757890328).

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

72161700072 is a wasteful number, since it uses less digits than its factorization.

72161700072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39048566 (or 39048562 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 72161700072 in words is "seventy-two billion, one hundred sixty-one million, seven hundred thousand, seventy-two".