72259242 has 64 divisors (see below), whose sum is σ = 171763200. Its totient is φ = 20018880.

The previous prime is 72259241. The next prime is 72259259. The reversal of 72259242 is 24295227.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72259241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35373 + ... + 37359.

It is an arithmetic number, because the mean of its divisors is an integer number (2683800).

Almost surely, 2^72259242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72259242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85881600).

72259242 is an abundant number, since it is smaller than the sum of its proper divisors (99503958).

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

72259242 is a wasteful number, since it uses less digits than its factorization.

72259242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051.

The product of its digits is 20160, while the sum is 33.

The square root of 72259242 is about 8500.5436296745. The cubic root of 72259242 is about 416.5154675576.

The spelling of 72259242 in words is "seventy-two million, two hundred fifty-nine thousand, two hundred forty-two".