10972032 has 32 divisors (see below), whose sum is σ = 29145480. Its totient is φ = 3657216.

The previous prime is 10972001. The next prime is 10972033. The reversal of 10972032 is 23027901.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10971993 and 10972011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10972033) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13903 + ... + 14670.

Almost surely, 2^10972032 is an apocalyptic number.

10972032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10972032 is an abundant number, since it is smaller than the sum of its proper divisors (18173448).

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

10972032 is an equidigital number, since it uses as much as digits as its factorization.

10972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28590 (or 28578 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10972032 is about 3312.4057722447. The cubic root of 10972032 is about 222.2093634041.

Adding to 10972032 its reverse (23027901), we get a palindrome (33999933).

The spelling of 10972032 in words is "ten million, nine hundred seventy-two thousand, thirty-two".