83724288 has 48 divisors (see below), whose sum is σ = 223226640. Its totient is φ = 27906048.

The previous prime is 83724283. The next prime is 83724307. The reversal of 83724288 is 88242738.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×83724288² = 14019512802213888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83724283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 670 + ... + 12957.

It is an arithmetic number, because the mean of its divisors is an integer number (4650555).

Almost surely, 2^83724288 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 83724288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111613320).

83724288 is an abundant number, since it is smaller than the sum of its proper divisors (139502352).

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

83724288 is a wasteful number, since it uses less digits than its factorization.

83724288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652 (or 13632 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 83724288 is about 9150.0977043964. The cubic root of 83724288 is about 437.4722276792.

The spelling of 83724288 in words is "eighty-three million, seven hundred twenty-four thousand, two hundred eighty-eight".