72273168 has 160 divisors (see below), whose sum is σ = 230699520. Its totient is φ = 21479040.

The previous prime is 72273167. The next prime is 72273209. The reversal of 72273168 is 86137227.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72273167) 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 31 ways as a sum of consecutive naturals, for example, 318271 + ... + 318497.

It is an arithmetic number, because the mean of its divisors is an integer number (1441872).

Almost surely, 2^72273168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72273168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115349760).

72273168 is an abundant number, since it is smaller than the sum of its proper divisors (158426352).

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

72273168 is a wasteful number, since it uses less digits than its factorization.

72273168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72273168 is about 8501.3627142947. The cubic root of 72273168 is about 416.5422231746.

The spelling of 72273168 in words is "seventy-two million, two hundred seventy-three thousand, one hundred sixty-eight".