72698112 has 108 divisors (see below), whose sum is σ = 212044560. Its totient is φ = 23952384.

The previous prime is 72698071. The next prime is 72698113. The reversal of 72698112 is 21189627.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72698113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320143 + ... + 320369.

Almost surely, 2^72698112 is an apocalyptic number.

72698112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106022280).

72698112 is an abundant number, since it is smaller than the sum of its proper divisors (139346448).

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

72698112 is a wasteful number, since it uses less digits than its factorization.

72698112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 72698112 is about 8526.3187836252. The cubic root of 72698112 is about 417.3570084140.

The spelling of 72698112 in words is "seventy-two million, six hundred ninety-eight thousand, one hundred twelve".