72382464 has 384 divisors, whose sum is σ = 283046400. Its totient is φ = 17694720.

The previous prime is 72382433. The next prime is 72382483. The reversal of 72382464 is 46428327.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×72382464² = 10478442189422592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4257784 + ... + 4257800.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^72382464 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 72382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

72382464 is an abundant number, since it is smaller than the sum of its proper divisors (210663936).

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

72382464 is a wasteful number, since it uses less digits than its factorization.

72382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72382464 is about 8507.7884317841. The cubic root of 72382464 is about 416.7520911430.

The spelling of 72382464 in words is "seventy-two million, three hundred eighty-two thousand, four hundred sixty-four".