72068752 has 80 divisors (see below), whose sum is σ = 168774912. Its totient is φ = 29145600.

The previous prime is 72068747. The next prime is 72068753. The reversal of 72068752 is 25786027.

It is not an unprimeable number, because it can be changed into a prime (72068753) 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, 260038 + ... + 260314.

Almost surely, 2^72068752 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 72068752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84387456).

72068752 is an abundant number, since it is smaller than the sum of its proper divisors (96706160).

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

72068752 is a wasteful number, since it uses less digits than its factorization.

72068752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 72068752 is about 8489.3316580282. The cubic root of 72068752 is about 416.1491390804.

The spelling of 72068752 in words is "seventy-two million, sixty-eight thousand, seven hundred fifty-two".