72423168 has 72 divisors (see below), whose sum is σ = 194188176. Its totient is φ = 23961600.

The previous prime is 72423167. The next prime is 72423173. The reversal of 72423168 is 86132427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72423167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138748 + ... + 139268.

It is an arithmetic number, because the mean of its divisors is an integer number (2697058).

Almost surely, 2^72423168 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 72423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97094088).

72423168 is an abundant number, since it is smaller than the sum of its proper divisors (121765008).

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

72423168 is a wasteful number, since it uses less digits than its factorization.

72423168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 72423168 is about 8510.1802566103. The cubic root of 72423168 is about 416.8301961488.

The spelling of 72423168 in words is "seventy-two million, four hundred twenty-three thousand, one hundred sixty-eight".