72413424 has 60 divisors (see below), whose sum is σ = 204011496. Its totient is φ = 23976576.

The previous prime is 72413381. The next prime is 72413431. The reversal of 72413424 is 42431427.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21007 + ... + 24209.

Almost surely, 2^72413424 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 72413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102005748).

72413424 is an abundant number, since it is smaller than the sum of its proper divisors (131598072).

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

72413424 is a wasteful number, since it uses less digits than its factorization.

72413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3365 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 72413424 is about 8509.6077465416. The cubic root of 72413424 is about 416.8115015068.

The spelling of 72413424 in words is "seventy-two million, four hundred thirteen thousand, four hundred twenty-four".