72281844 has 36 divisors (see below), whose sum is σ = 185814720. Its totient is φ = 23684880.

The previous prime is 72281843. The next prime is 72281873. The reversal of 72281844 is 44818227.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 72281799 and 72281808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72281843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14892 + ... + 19139.

It is an arithmetic number, because the mean of its divisors is an integer number (5161520).

Almost surely, 2^72281844 is an apocalyptic number.

It is an amenable number.

72281844 is an abundant number, since it is smaller than the sum of its proper divisors (113532876).

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

72281844 is a wasteful number, since it uses less digits than its factorization.

72281844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34100 (or 34095 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 72281844 is about 8501.8729701166. The cubic root of 72281844 is about 416.5588903824.

The spelling of 72281844 in words is "seventy-two million, two hundred eighty-one thousand, eight hundred forty-four".