83872992 has 96 divisors (see below), whose sum is σ = 264902400. Its totient is φ = 22699008.

The previous prime is 83872991. The next prime is 83873057. The reversal of 83872992 is 29927838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83872991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9484 + ... + 16052.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2^83872992 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 83872992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

83872992 is an abundant number, since it is smaller than the sum of its proper divisors (181029408).

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

83872992 is a wasteful number, since it uses less digits than its factorization.

83872992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6600 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 83872992 is about 9158.2199143720. The cubic root of 83872992 is about 437.7310748838.

The spelling of 83872992 in words is "eighty-three million, eight hundred seventy-two thousand, nine hundred ninety-two".