72811844 has 36 divisors (see below), whose sum is σ = 148882860. Its totient is φ = 31066560.

The previous prime is 72811829. The next prime is 72811861. The reversal of 72811844 is 44811827.

It can be written as a sum of positive squares in 2 ways, for example, as 16711744 + 56100100 = 4088^2 + 7490^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52034 + ... + 53414.

It is an arithmetic number, because the mean of its divisors is an integer number (4135635).

Almost surely, 2^72811844 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 72811844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74441430).

72811844 is an abundant number, since it is smaller than the sum of its proper divisors (76071016).

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

72811844 is a wasteful number, since it uses less digits than its factorization.

72811844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1659 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 72811844 is about 8532.9856439584. The cubic root of 72811844 is about 417.5745386653.

The spelling of 72811844 in words is "seventy-two million, eight hundred eleven thousand, eight hundred forty-four".