72359424 has 120 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 23470080.

The previous prime is 72359407. The next prime is 72359431. The reversal of 72359424 is 42495327.

It is a super-2 number, since 2×72359424² = 10471772483223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime factors (448).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 188737 + ... + 189119.

Almost surely, 2^72359424 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 72359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

72359424 is an abundant number, since it is smaller than the sum of its proper divisors (142126848).

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

72359424 is a wasteful number, since it uses less digits than its factorization.

72359424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72359424 is about 8506.4342705978. The cubic root of 72359424 is about 416.7078677836.

The spelling of 72359424 in words is "seventy-two million, three hundred fifty-nine thousand, four hundred twenty-four".