13742592 has 80 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 4370432.

The previous prime is 13742591. The next prime is 13742593. The reversal of 13742592 is 29524731.

It is an interprime number because it is at equal distance from previous prime (13742591) and next prime (13742593).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (13742591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35134 + ... + 35522.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 2^13742592 is an apocalyptic number.

13742592 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 13742592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

13742592 is an abundant number, since it is smaller than the sum of its proper divisors (24558528).

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

13742592 is an equidigital number, since it uses as much as digits as its factorization.

13742592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 13742592 is about 3707.1002144533. The cubic root of 13742592 is about 239.5279610778.

The spelling of 13742592 in words is "thirteen million, seven hundred forty-two thousand, five hundred ninety-two".