72716112 has 60 divisors (see below), whose sum is σ = 232579360. Its totient is φ = 20775744.

The previous prime is 72716107. The next prime is 72716117. The reversal of 72716112 is 21161727.

It is an interprime number because it is at equal distance from previous prime (72716107) and next prime (72716117).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72716117) 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, 35062 + ... + 37077.

Almost surely, 2^72716112 is an apocalyptic number.

72716112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72716112 is an abundant number, since it is smaller than the sum of its proper divisors (159863248).

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

72716112 is a wasteful number, since it uses less digits than its factorization.

72716112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72160 (or 72151 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 72716112 is about 8527.3742734795. The cubic root of 72716112 is about 417.3914513360.

Adding to 72716112 its reverse (21161727), we get a palindrome (93877839).

The spelling of 72716112 in words is "seventy-two million, seven hundred sixteen thousand, one hundred twelve".