72142224 has 160 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 18470400.

The previous prime is 72142207. The next prime is 72142229. The reversal of 72142224 is 42224127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72142194 and 72142203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72142229) 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 31 ways as a sum of consecutive naturals, for example, 484102 + ... + 484250.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^72142224 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 72142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

72142224 is an abundant number, since it is smaller than the sum of its proper divisors (163556976).

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

72142224 is a wasteful number, since it uses less digits than its factorization.

72142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 72142224 is about 8493.6578692575. The cubic root of 72142224 is about 416.2905083718.

The spelling of 72142224 in words is "seventy-two million, one hundred forty-two thousand, two hundred twenty-four".