72518424 has 64 divisors (see below), whose sum is σ = 204180480. Its totient is φ = 21264000.

The previous prime is 72518423. The next prime is 72518429. The reversal of 72518424 is 42481527.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72518423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3754 + ... + 12614.

It is an arithmetic number, because the mean of its divisors is an integer number (3190320).

Almost surely, 2^72518424 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 72518424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102090240).

72518424 is an abundant number, since it is smaller than the sum of its proper divisors (131662056).

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

72518424 is a wasteful number, since it uses less digits than its factorization.

72518424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912 (or 8908 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 72518424 is about 8515.7750087705. The cubic root of 72518424 is about 417.0128641317.

The spelling of 72518424 in words is "seventy-two million, five hundred eighteen thousand, four hundred twenty-four".