10072332 has 36 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 3293472.

The previous prime is 10072327. The next prime is 10072339. The reversal of 10072332 is 23327001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (10072339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732 + ... + 4547.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^10072332 is an apocalyptic number.

10072332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10072332 is an abundant number, since it is smaller than the sum of its proper divisors (15873588).

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

10072332 is a wasteful number, since it uses less digits than its factorization.

10072332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10072332 is about 3173.6937470399. The cubic root of 10072332 is about 215.9616701534.

Adding to 10072332 its reverse (23327001), we get a palindrome (33399333).

It can be divided in two parts, 10072 and 332, that added together give a square (10404 = 102²).

The spelling of 10072332 in words is "ten million, seventy-two thousand, three hundred thirty-two".