72426168 has 96 divisors (see below), whose sum is σ = 208191360. Its totient is φ = 22705920.

The previous prime is 72426161. The next prime is 72426181. The reversal of 72426168 is 86162427.

72426168 is a `hidden beast` number, since 72 + 426 + 168 = 666.

It is a super-2 number, since 2×72426168² = 10491099622328448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72426161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82146 + ... + 83022.

It is an arithmetic number, because the mean of its divisors is an integer number (2168660).

Almost surely, 2^72426168 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 72426168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104095680).

72426168 is an abundant number, since it is smaller than the sum of its proper divisors (135765192).

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

72426168 is a wasteful number, since it uses less digits than its factorization.

72426168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72426168 is about 8510.3565142713. The cubic root of 72426168 is about 416.8359515508.

The spelling of 72426168 in words is "seventy-two million, four hundred twenty-six thousand, one hundred sixty-eight".