83362672 has 40 divisors (see below), whose sum is σ = 169274880. Its totient is φ = 39695040.

The previous prime is 83362663. The next prime is 83362703. The reversal of 83362672 is 27626338.

It is a congruent number.

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, 131797 + ... + 132427.

It is an arithmetic number, because the mean of its divisors is an integer number (4231872).

Almost surely, 2^83362672 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 83362672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84637440).

83362672 is an abundant number, since it is smaller than the sum of its proper divisors (85912208).

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

83362672 is a wasteful number, since it uses less digits than its factorization.

83362672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1015 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 83362672 is about 9130.3160952948. The cubic root of 83362672 is about 436.8414857259.

The spelling of 83362672 in words is "eighty-three million, three hundred sixty-two thousand, six hundred seventy-two".