72528168 has 64 divisors (see below), whose sum is σ = 194529600. Its totient is φ = 22464000.

The previous prime is 72528167. The next prime is 72528173. The reversal of 72528168 is 86182527.

It is not an unprimeable number, because it can be changed into a prime (72528167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22668 + ... + 25668.

It is an arithmetic number, because the mean of its divisors is an integer number (3039525).

Almost surely, 2^72528168 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 72528168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97264800).

72528168 is an abundant number, since it is smaller than the sum of its proper divisors (122001432).

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

72528168 is a wasteful number, since it uses less digits than its factorization.

72528168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3078 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 72528168 is about 8516.3471042460. The cubic root of 72528168 is about 417.0315407251.

The spelling of 72528168 in words is "seventy-two million, five hundred twenty-eight thousand, one hundred sixty-eight".