72734112 has 120 divisors (see below), whose sum is σ = 233446752. Its totient is φ = 22032000.

The previous prime is 72734111. The next prime is 72734131. The reversal of 72734112 is 21143727.

It is a happy number.

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 (72734111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27237 + ... + 29787.

Almost surely, 2^72734112 is an apocalyptic number.

72734112 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 72734112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116723376).

72734112 is an abundant number, since it is smaller than the sum of its proper divisors (160712640).

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

72734112 is a wasteful number, since it uses less digits than its factorization.

72734112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2567 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72734112 is about 8528.4296327050. The cubic root of 72734112 is about 417.4258885746.

Adding to 72734112 its reverse (21143727), we get a palindrome (93877839).

The spelling of 72734112 in words is "seventy-two million, seven hundred thirty-four thousand, one hundred twelve".