72105576 has 32 divisors (see below), whose sum is σ = 180600000. Its totient is φ = 23990400.

The previous prime is 72105569. The next prime is 72105581. The reversal of 72105576 is 67550127.

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, 11925 + ... + 16923.

It is an arithmetic number, because the mean of its divisors is an integer number (5643750).

Almost surely, 2^72105576 is an apocalyptic number.

It is an amenable number.

72105576 is an abundant number, since it is smaller than the sum of its proper divisors (108494424).

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

72105576 is a wasteful number, since it uses less digits than its factorization.

72105576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 72105576 is about 8491.5002208090. The cubic root of 72105576 is about 416.2200050530.

The spelling of 72105576 in words is "seventy-two million, one hundred five thousand, five hundred seventy-six".