72732672 has 78 divisors (see below), whose sum is σ = 210197442. Its totient is φ = 24231936.

The previous prime is 72732659. The next prime is 72732677. The reversal of 72732672 is 27623727.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 19501056 = 7296^2 + 4416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72732677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35878 + ... + 37850.

It is an arithmetic number, because the mean of its divisors is an integer number (2694839).

Almost surely, 2^72732672 is an apocalyptic number.

72732672 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 72732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105098721).

72732672 is an abundant number, since it is smaller than the sum of its proper divisors (137464770).

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

72732672 is a wasteful number, since it uses less digits than its factorization.

72732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1978 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 72732672 is about 8528.3452087729. The cubic root of 72732672 is about 417.4231338046.

The spelling of 72732672 in words is "seventy-two million, seven hundred thirty-two thousand, six hundred seventy-two".