83630772 has 48 divisors (see below), whose sum is σ = 218877120. Its totient is φ = 27612576.

The previous prime is 83630753. The next prime is 83630773. The reversal of 83630772 is 27703638.

83630772 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

83630772 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83630773) 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, 7938 + ... + 15174.

It is an arithmetic number, because the mean of its divisors is an integer number (4559940).

Almost surely, 2^83630772 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 83630772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109438560).

83630772 is an abundant number, since it is smaller than the sum of its proper divisors (135246348).

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

83630772 is a wasteful number, since it uses less digits than its factorization.

83630772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 83630772 is about 9144.9861672941. The cubic root of 83630772 is about 437.3092885249.

The spelling of 83630772 in words is "eighty-three million, six hundred thirty thousand, seven hundred seventy-two".