72382016 has 42 divisors (see below), whose sum is σ = 167090598. Its totient is φ = 31019520.

The previous prime is 72382007. The next prime is 72382019. The reversal of 72382016 is 61028327.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61465600 + 10916416 = 7840^2 + 3304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72382016.

It is not an unprimeable number, because it can be changed into a prime (72382019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8405 + ... + 14676.

Almost surely, 2^72382016 is an apocalyptic number.

It is an amenable number.

72382016 is an abundant number, since it is smaller than the sum of its proper divisors (94708582).

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

72382016 is a wasteful number, since it uses less digits than its factorization.

72382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23107 (or 23090 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 72382016 is about 8507.7621029270. The cubic root of 72382016 is about 416.7512313338.

The spelling of 72382016 in words is "seventy-two million, three hundred eighty-two thousand, sixteen".