72853752 has 64 divisors (see below), whose sum is σ = 192931200. Its totient is φ = 22861440.

The previous prime is 72853667. The next prime is 72853757. The reversal of 72853752 is 25735827.

It is a self number, because there is not a number n which added to its sum of digits gives 72853752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72853757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89427 + ... + 90237.

It is an arithmetic number, because the mean of its divisors is an integer number (3014550).

Almost surely, 2^72853752 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 72853752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96465600).

72853752 is an abundant number, since it is smaller than the sum of its proper divisors (120077448).

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

72853752 is a wasteful number, since it uses less digits than its factorization.

72853752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 72853752 is about 8535.4409376435. The cubic root of 72853752 is about 417.6546371606.

The spelling of 72853752 in words is "seventy-two million, eight hundred fifty-three thousand, seven hundred fifty-two".