72111424 has 56 divisors (see below), whose sum is σ = 178417728. Its totient is φ = 28093440.

The previous prime is 72111421. The next prime is 72111451. The reversal of 72111424 is 42411127.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72111395 and 72111404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72111421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2389 + ... + 12244.

Almost surely, 2^72111424 is an apocalyptic number.

It is an amenable number.

72111424 is an abundant number, since it is smaller than the sum of its proper divisors (106306304).

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

72111424 is a wasteful number, since it uses less digits than its factorization.

72111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663 (or 14653 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 72111424 is about 8491.8445581628. The cubic root of 72111424 is about 416.2312570205.

The spelling of 72111424 in words is "seventy-two million, one hundred eleven thousand, four hundred twenty-four".