72167424 has 104 divisors (see below), whose sum is σ = 220174080. Its totient is φ = 20594688.

The previous prime is 72167413. The next prime is 72167437. The reversal of 72167424 is 42476127.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85597 + ... + 86435.

Almost surely, 2^72167424 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 72167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110087040).

72167424 is an abundant number, since it is smaller than the sum of its proper divisors (148006656).

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

72167424 is an equidigital number, since it uses as much as digits as its factorization.

72167424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 851 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 72167424 is about 8495.1411995328. The cubic root of 72167424 is about 416.3389742077.

The spelling of 72167424 in words is "seventy-two million, one hundred sixty-seven thousand, four hundred twenty-four".