72115362 has 72 divisors (see below), whose sum is σ = 176595120. Its totient is φ = 21092400.

The previous prime is 72115333. The next prime is 72115397. The reversal of 72115362 is 26351127.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190089 + ... + 190467.

It is an arithmetic number, because the mean of its divisors is an integer number (2452710).

Almost surely, 2^72115362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72115362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88297560).

72115362 is an abundant number, since it is smaller than the sum of its proper divisors (104479758).

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

72115362 is a wasteful number, since it uses less digits than its factorization.

72115362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72115362 is about 8492.0764245266. The cubic root of 72115362 is about 416.2388336696.

Adding to 72115362 its reverse (26351127), we get a palindrome (98466489).

The spelling of 72115362 in words is "seventy-two million, one hundred fifteen thousand, three hundred sixty-two".