72015168 has 84 divisors (see below), whose sum is σ = 201289920. Its totient is φ = 22719744.

The previous prime is 72015137. The next prime is 72015169. The reversal of 72015168 is 86151027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72015169) 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 11 ways as a sum of consecutive naturals, for example, 68793 + ... + 69831.

Almost surely, 2^72015168 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 72015168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100644960).

72015168 is an abundant number, since it is smaller than the sum of its proper divisors (129274752).

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

72015168 is a wasteful number, since it uses less digits than its factorization.

72015168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 72015168 is about 8486.1751101424. The cubic root of 72015168 is about 416.0459761809.

The spelling of 72015168 in words is "seventy-two million, fifteen thousand, one hundred sixty-eight".