72382476 has 48 divisors (see below), whose sum is σ = 178940160. Its totient is φ = 22708800.

The previous prime is 72382433. The next prime is 72382483. The reversal of 72382476 is 67428327.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37126 + ... + 39026.

It is an arithmetic number, because the mean of its divisors is an integer number (3727920).

Almost surely, 2^72382476 is an apocalyptic number.

72382476 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72382476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89470080).

72382476 is an abundant number, since it is smaller than the sum of its proper divisors (106557684).

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

72382476 is a wasteful number, since it uses less digits than its factorization.

72382476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2092 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 72382476 is about 8507.7891370203. The cubic root of 72382476 is about 416.7521141735.

The spelling of 72382476 in words is "seventy-two million, three hundred eighty-two thousand, four hundred seventy-six".