10072432 has 40 divisors (see below), whose sum is σ = 21762000. Its totient is φ = 4488192.

The previous prime is 10072423. The next prime is 10072453. The reversal of 10072432 is 23427001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4194 + ... + 6142.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 2^10072432 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 10072432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881000).

10072432 is an abundant number, since it is smaller than the sum of its proper divisors (11689568).

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

10072432 is a wasteful number, since it uses less digits than its factorization.

10072432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 10072432 is about 3173.7095015140. The cubic root of 10072432 is about 215.9623848537.

Adding to 10072432 its reverse (23427001), we get a palindrome (33499433).

The spelling of 10072432 in words is "ten million, seventy-two thousand, four hundred thirty-two".