72464384 has 48 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 35307520.

The previous prime is 72464377. The next prime is 72464393. The reversal of 72464384 is 48346427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83537 + ... + 84399.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^72464384 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 72464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

72464384 is an abundant number, since it is smaller than the sum of its proper divisors (76134976).

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

72464384 is an equidigital number, since it uses as much as digits as its factorization.

72464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 72464384 is about 8512.6014825082. The cubic root of 72464384 is about 416.9092537939.

The spelling of 72464384 in words is "seventy-two million, four hundred sixty-four thousand, three hundred eighty-four".