10372992 has 128 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 2777088.

The previous prime is 10372963. The next prime is 10372997. The reversal of 10372992 is 29927301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10372997) 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, 45583 + ... + 45809.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 2^10372992 is an apocalyptic number.

10372992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

10372992 is an abundant number, since it is smaller than the sum of its proper divisors (23115648).

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

10372992 is a wasteful number, since it uses less digits than its factorization.

10372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 10372992 is about 3220.7129645468. The cubic root of 10372992 is about 218.0894619213.

It can be divided in two parts, 1037299 and 2, that added together give a palindrome (1037301).

The spelling of 10372992 in words is "ten million, three hundred seventy-two thousand, nine hundred ninety-two".