10742592 has 56 divisors (see below), whose sum is σ = 32487616. Its totient is φ = 3068928.

The previous prime is 10742539. The next prime is 10742597. The reversal of 10742592 is 29524701.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742597) 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 7 ways as a sum of consecutive naturals, for example, 2653 + ... + 5340.

It is an arithmetic number, because the mean of its divisors is an integer number (580136).

Almost surely, 2^10742592 is an apocalyptic number.

10742592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10742592 is an abundant number, since it is smaller than the sum of its proper divisors (21745024).

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

10742592 is an equidigital number, since it uses as much as digits as its factorization.

10742592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10742592 is about 3277.5893580496. The cubic root of 10742592 is about 220.6495404279.

The spelling of 10742592 in words is "ten million, seven hundred forty-two thousand, five hundred ninety-two".