72868116 has 48 divisors (see below), whose sum is σ = 179645760. Its totient is φ = 22924800.

The previous prime is 72868093. The next prime is 72868121. The reversal of 72868116 is 61186827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91030 + ... + 91826.

It is an arithmetic number, because the mean of its divisors is an integer number (3742620).

Almost surely, 2^72868116 is an apocalyptic number.

72868116 is a gapful number since it is divisible by the number (76) 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 72868116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89822880).

72868116 is an abundant number, since it is smaller than the sum of its proper divisors (106777644).

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

72868116 is a wasteful number, since it uses less digits than its factorization.

72868116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1222 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 72868116 is about 8536.2823289767. The cubic root of 72868116 is about 417.6820839143.

The spelling of 72868116 in words is "seventy-two million, eight hundred sixty-eight thousand, one hundred sixteen".