72095600 has 30 divisors (see below), whose sum is σ = 173210640. Its totient is φ = 28838080.

The previous prime is 72095599. The next prime is 72095609. The reversal of 72095600 is 659027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72095609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89720 + ... + 90519.

It is an arithmetic number, because the mean of its divisors is an integer number (5773688).

Almost surely, 2^72095600 is an apocalyptic number.

It is an amenable number.

72095600 is an abundant number, since it is smaller than the sum of its proper divisors (101115040).

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

72095600 is a wasteful number, since it uses less digits than its factorization.

72095600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180257 (or 180246 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 72095600 is about 8490.9127895651. The cubic root of 72095600 is about 416.2008091161.

The spelling of 72095600 in words is "seventy-two million, ninety-five thousand, six hundred".