72747136 has 128 divisors (see below), whose sum is σ = 185166720. Its totient is φ = 27878400.

The previous prime is 72747133. The next prime is 72747163. The reversal of 72747136 is 63174727.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 72747095 and 72747104.

It is not an unprimeable number, because it can be changed into a prime (72747133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192546 + ... + 1192606.

It is an arithmetic number, because the mean of its divisors is an integer number (1446615).

Almost surely, 2^72747136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92583360).

72747136 is an abundant number, since it is smaller than the sum of its proper divisors (112419584).

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

72747136 is an equidigital number, since it uses as much as digits as its factorization.

72747136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its digits is 49392, while the sum is 37.

The square root of 72747136 is about 8529.1931623103. The cubic root of 72747136 is about 417.4508022873.

The spelling of 72747136 in words is "seventy-two million, seven hundred forty-seven thousand, one hundred thirty-six".