72542844 has 96 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 21804480.

The previous prime is 72542831. The next prime is 72542857. The reversal of 72542844 is 44824527.

72542844 is a `hidden beast` number, since 72 + 542 + 8 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (72542831) and next prime (72542857).

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

Its product of digits (71680) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 72542799 and 72542808.

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, 269542 + ... + 269810.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^72542844 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 72542844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

72542844 is an abundant number, since it is smaller than the sum of its proper divisors (134298756).

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

72542844 is a wasteful number, since it uses less digits than its factorization.

72542844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 72542844 is about 8517.2086976896. The cubic root of 72542844 is about 417.0596674621.

The spelling of 72542844 in words is "seventy-two million, five hundred forty-two thousand, eight hundred forty-four".