72015762 has 64 divisors (see below), whose sum is σ = 181649664. Its totient is φ = 18524160.

The previous prime is 72015739. The next prime is 72015763. The reversal of 72015762 is 26751027.

It is not an unprimeable number, because it can be changed into a prime (72015763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20778 + ... + 23994.

It is an arithmetic number, because the mean of its divisors is an integer number (2838276).

Almost surely, 2^72015762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72015762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90824832).

72015762 is an abundant number, since it is smaller than the sum of its proper divisors (109633902).

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

72015762 is a wasteful number, since it uses less digits than its factorization.

72015762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72015762 is about 8486.2101081696. The cubic root of 72015762 is about 416.0471200632.

Adding to 72015762 its reverse (26751027), we get a palindrome (98766789).

The spelling of 72015762 in words is "seventy-two million, fifteen thousand, seven hundred sixty-two".