83664072 has 96 divisors (see below), whose sum is σ = 248297400. Its totient is φ = 25331712.

The previous prime is 83664047. The next prime is 83664103. The reversal of 83664072 is 27046638.

83664072 is a `hidden beast` number, since 8 + 3 + 6 + 640 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70660836 + 13003236 = 8406^2 + 3606^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34318 + ... + 36674.

Almost surely, 2^83664072 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 83664072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124148700).

83664072 is an abundant number, since it is smaller than the sum of its proper divisors (164633328).

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

83664072 is a wasteful number, since it uses less digits than its factorization.

83664072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 83664072 is about 9146.8066558772. The cubic root of 83664072 is about 437.3673232514.

The spelling of 83664072 in words is "eighty-three million, six hundred sixty-four thousand, seventy-two".