72407424 has 64 divisors (see below), whose sum is σ = 193526640. Its totient is φ = 23986176.

The previous prime is 72407417. The next prime is 72407429. The reversal of 72407424 is 42470427.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 72407391 and 72407400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72407429) 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, 73624 + ... + 74600.

Almost surely, 2^72407424 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 72407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96763320).

72407424 is an abundant number, since it is smaller than the sum of its proper divisors (121119216).

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

72407424 is a wasteful number, since it uses less digits than its factorization.

72407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 72407424 is about 8509.2551965492. The cubic root of 72407424 is about 416.7999891935.

The spelling of 72407424 in words is "seventy-two million, four hundred seven thousand, four hundred twenty-four".