83088072 has 64 divisors (see below), whose sum is σ = 232080000. Its totient is φ = 27542592.

The previous prime is 83088059. The next prime is 83088073. The reversal of 83088072 is 27088038.

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

It is not an unprimeable number, because it can be changed into a prime (83088073) 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, 42018 + ... + 43950.

It is an arithmetic number, because the mean of its divisors is an integer number (3626250).

Almost surely, 2^83088072 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 83088072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116040000).

83088072 is an abundant number, since it is smaller than the sum of its proper divisors (148991928).

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

83088072 is a wasteful number, since it uses less digits than its factorization.

83088072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83088072 is about 9115.2658765392. The cubic root of 83088072 is about 436.3613002716.

The spelling of 83088072 in words is "eighty-three million, eighty-eight thousand, seventy-two".