72647736 has 128 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 19768320.

The previous prime is 72647723. The next prime is 72647779. The reversal of 72647736 is 63774627.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364965 + ... + 365163.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^72647736 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 72647736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

72647736 is an abundant number, since it is smaller than the sum of its proper divisors (145080264).

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

72647736 is a wasteful number, since it uses less digits than its factorization.

72647736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its digits is 296352, while the sum is 42.

The square root of 72647736 is about 8523.3641245696. The cubic root of 72647736 is about 417.2605839250.

The spelling of 72647736 in words is "seventy-two million, six hundred forty-seven thousand, seven hundred thirty-six".