72456384 has 336 divisors, whose sum is σ = 267736320. Its totient is φ = 16773120.

The previous prime is 72456383. The next prime is 72456401. The reversal of 72456384 is 48365427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (72456383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2498482 + ... + 2498510.

Almost surely, 2^72456384 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 72456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133868160).

72456384 is an abundant number, since it is smaller than the sum of its proper divisors (195279936).

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

72456384 is a wasteful number, since it uses less digits than its factorization.

72456384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 72456384 is about 8512.1315779304. The cubic root of 72456384 is about 416.8939110992.

The spelling of 72456384 in words is "seventy-two million, four hundred fifty-six thousand, three hundred eighty-four".