72534168 has 96 divisors (see below), whose sum is σ = 227784960. Its totient is φ = 20422080.

The previous prime is 72534167. The next prime is 72534169. The reversal of 72534168 is 86143527.

It is an interprime number because it is at equal distance from previous prime (72534167) and next prime (72534169).

It is a super-2 number, since 2×72534168² = 10522411054904448, 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 (72534167) 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, 34771 + ... + 36797.

It is an arithmetic number, because the mean of its divisors is an integer number (2372760).

Almost surely, 2^72534168 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 72534168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113892480).

72534168 is an abundant number, since it is smaller than the sum of its proper divisors (155250792).

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

72534168 is a wasteful number, since it uses less digits than its factorization.

72534168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2110 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72534168 is about 8516.6993606678. The cubic root of 72534168 is about 417.0430402584.

The spelling of 72534168 in words is "seventy-two million, five hundred thirty-four thousand, one hundred sixty-eight".