72168795 has 36 divisors (see below), whose sum is σ = 127471968. Its totient is φ = 37771200.

The previous prime is 72168793. The next prime is 72168809. The reversal of 72168795 is 59786127.

It is not a de Polignac number, because 72168795 - 2¹ = 72168793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72168795.

It is not an unprimeable number, because it can be changed into a prime (72168793) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167230 + ... + 167660.

It is an arithmetic number, because the mean of its divisors is an integer number (3540888).

Almost surely, 2^72168795 is an apocalyptic number.

72168795 is a deficient number, since it is larger than the sum of its proper divisors (55303173).

72168795 is a wasteful number, since it uses less digits than its factorization.

72168795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 500 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 72168795 is about 8495.2218923345. The cubic root of 72168795 is about 416.3416106563.

The spelling of 72168795 in words is "seventy-two million, one hundred sixty-eight thousand, seven hundred ninety-five".