10362792 has 64 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 2954240.

The previous prime is 10362767. The next prime is 10362797. The reversal of 10362792 is 29726301.

It is a super-3 number, since 3×10362792³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10362797) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3334 + ... + 5642.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 2^10362792 is an apocalyptic number.

10362792 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 10362792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

10362792 is an abundant number, since it is smaller than the sum of its proper divisors (19574808).

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

10362792 is a wasteful number, since it uses less digits than its factorization.

10362792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 10362792 is about 3219.1290747654. The cubic root of 10362792 is about 218.0179543611.

It can be divided in two parts, 1036 and 2792, that added together give a triangular number (3828 = T₈₇).

The spelling of 10362792 in words is "ten million, three hundred sixty-two thousand, seven hundred ninety-two".