72418824 has 48 divisors (see below), whose sum is σ = 197253420. Its totient is φ = 24001920.

The previous prime is 72418807. The next prime is 72418831. The reversal of 72418824 is 42881427.

It can be written as a sum of positive squares in 2 ways, for example, as 72080100 + 338724 = 8490^2 + 582^2 .

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

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, 10254 + ... + 15810.

Almost surely, 2^72418824 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 72418824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98626710).

72418824 is an abundant number, since it is smaller than the sum of its proper divisors (124834596).

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

72418824 is a wasteful number, since it uses less digits than its factorization.

72418824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5743 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 72418824 is about 8509.9250290470. The cubic root of 72418824 is about 416.8218620451.

The spelling of 72418824 in words is "seventy-two million, four hundred eighteen thousand, eight hundred twenty-four".