72146424 has 96 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 19938240.

The previous prime is 72146387. The next prime is 72146443. The reversal of 72146424 is 42464127.

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 = 72146391 and 72146400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35467 + ... + 37445.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 2^72146424 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 72146424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

72146424 is an abundant number, since it is smaller than the sum of its proper divisors (144544776).

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

72146424 is a wasteful number, since it uses less digits than its factorization.

72146424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2022 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 72146424 is about 8493.9051089590. The cubic root of 72146424 is about 416.2985867948.

The spelling of 72146424 in words is "seventy-two million, one hundred forty-six thousand, four hundred twenty-four".