72707112 has 64 divisors (see below), whose sum is σ = 202704000. Its totient is φ = 24147072.

The previous prime is 72707111. The next prime is 72707189. The reversal of 72707112 is 21170727.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72707111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87933 + ... + 88755.

It is an arithmetic number, because the mean of its divisors is an integer number (3167250).

Almost surely, 2^72707112 is an apocalyptic number.

72707112 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 72707112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101352000).

72707112 is an abundant number, since it is smaller than the sum of its proper divisors (129996888).

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

72707112 is a wasteful number, since it uses less digits than its factorization.

72707112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 72707112 is about 8526.8465448840. The cubic root of 72707112 is about 417.3742305856.

Adding to 72707112 its reverse (21170727), we get a palindrome (93877839).

The spelling of 72707112 in words is "seventy-two million, seven hundred seven thousand, one hundred twelve".