72195075 has 18 divisors (see below), whose sum is σ = 129309804. Its totient is φ = 38503920.

The previous prime is 72195059. The next prime is 72195077. The reversal of 72195075 is 57059127.

It is not a de Polignac number, because 72195075 - 2⁴ = 72195059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72195077) 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 17 ways as a sum of consecutive naturals, for example, 160209 + ... + 160658.

It is an arithmetic number, because the mean of its divisors is an integer number (7183878).

Almost surely, 2^72195075 is an apocalyptic number.

72195075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72195075 is a deficient number, since it is larger than the sum of its proper divisors (57114729).

72195075 is a wasteful number, since it uses less digits than its factorization.

72195075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320883 (or 320875 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 72195075 is about 8496.7685033782. The cubic root of 72195075 is about 416.3921409430.

The spelling of 72195075 in words is "seventy-two million, one hundred ninety-five thousand, seventy-five".