10075832 has 64 divisors (see below), whose sum is σ = 22226400. Its totient is φ = 4239360.

The previous prime is 10075831. The next prime is 10075859. The reversal of 10075832 is 23857001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075831) 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, 72419 + ... + 72557.

Almost surely, 2^10075832 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 10075832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113200).

10075832 is an abundant number, since it is smaller than the sum of its proper divisors (12150568).

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

10075832 is a wasteful number, since it uses less digits than its factorization.

10075832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 10075832 is about 3174.2451071081. The cubic root of 10075832 is about 215.9866818492.

The spelling of 10075832 in words is "ten million, seventy-five thousand, eight hundred thirty-two".