72683408 has 40 divisors (see below), whose sum is σ = 162394368. Its totient is φ = 30868992.

The previous prime is 72683389. The next prime is 72683423. The reversal of 72683408 is 80438627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9785 + ... + 15527.

Almost surely, 2^72683408 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 72683408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81197184).

72683408 is an abundant number, since it is smaller than the sum of its proper divisors (89710960).

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

72683408 is a wasteful number, since it uses less digits than its factorization.

72683408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 72683408 is about 8525.4564687177. The cubic root of 72683408 is about 417.3288681543.

The spelling of 72683408 in words is "seventy-two million, six hundred eighty-three thousand, four hundred eight".