10089772 has 96 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 3532800.

The previous prime is 10089763. The next prime is 10089791. The reversal of 10089772 is 27798001.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214653 + ... + 214699.

It is an arithmetic number, because the mean of its divisors is an integer number (254016).

Almost surely, 2^10089772 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 10089772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

10089772 is an abundant number, since it is smaller than the sum of its proper divisors (14295764).

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

10089772 is a wasteful number, since it uses less digits than its factorization.

10089772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 10089772 is about 3176.4401458236. The cubic root of 10089772 is about 216.0862424246.

The spelling of 10089772 in words is "ten million, eighty-nine thousand, seven hundred seventy-two".