72511848 has 80 divisors (see below), whose sum is σ = 204318180. Its totient is φ = 24026112.

The previous prime is 72511841. The next prime is 72511877. The reversal of 72511848 is 84811527.

It can be written as a sum of positive squares in 2 ways, for example, as 65318724 + 7193124 = 8082^2 + 2682^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72511841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205240 + ... + 205592.

Almost surely, 2^72511848 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 72511848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102159090).

72511848 is an abundant number, since it is smaller than the sum of its proper divisors (131806332).

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

72511848 is a wasteful number, since it uses less digits than its factorization.

72511848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 675 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 72511848 is about 8515.3888930571. The cubic root of 72511848 is about 417.0002587856. Note that the first 3 decimals are identical.

The spelling of 72511848 in words is "seventy-two million, five hundred eleven thousand, eight hundred forty-eight".