83726292 has 96 divisors (see below), whose sum is σ = 225396864. Its totient is φ = 23961600.

The previous prime is 83726287. The next prime is 83726303. The reversal of 83726292 is 29262738.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 83726292.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347292 + ... + 347532.

It is an arithmetic number, because the mean of its divisors is an integer number (2347884).

Almost surely, 2^83726292 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 83726292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112698432).

83726292 is an abundant number, since it is smaller than the sum of its proper divisors (141670572).

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

83726292 is a wasteful number, since it uses less digits than its factorization.

83726292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 83726292 is about 9150.2072107685. The cubic root of 83726292 is about 437.4757180537.

The spelling of 83726292 in words is "eighty-three million, seven hundred twenty-six thousand, two hundred ninety-two".