10075032 has 48 divisors (see below), whose sum is σ = 29769480. Its totient is φ = 3052800.

The previous prime is 10075027. The next prime is 10075049. The reversal of 10075032 is 23057001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10074996 and 10075014.

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 11 ways as a sum of consecutive naturals, for example, 5569 + ... + 7152.

Almost surely, 2^10075032 is an apocalyptic number.

10075032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10075032 is an abundant number, since it is smaller than the sum of its proper divisors (19694448).

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

10075032 is a wasteful number, since it uses less digits than its factorization.

10075032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744 (or 12737 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10075032 is about 3174.1190903934. The cubic root of 10075032 is about 215.9809654008.

The spelling of 10075032 in words is "ten million, seventy-five thousand, thirty-two".