10019232 has 72 divisors (see below), whose sum is σ = 30008160. Its totient is φ = 3162240.

The previous prime is 10019197. The next prime is 10019249. The reversal of 10019232 is 23291001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4557 + ... + 6387.

It is an arithmetic number, because the mean of its divisors is an integer number (416780).

Almost surely, 2^10019232 is an apocalyptic number.

10019232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004080).

10019232 is an abundant number, since it is smaller than the sum of its proper divisors (19988928).

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

10019232 is a wasteful number, since it uses less digits than its factorization.

10019232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10019232 is about 3165.3170457318. The cubic root of 10019232 is about 215.5814941842.

The spelling of 10019232 in words is "ten million, nineteen thousand, two hundred thirty-two".