7742112 has 96 divisors (see below), whose sum is σ = 23877504. Its totient is φ = 2150400.

The previous prime is 7742093. The next prime is 7742113. The reversal of 7742112 is 2112477.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7742113) 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, 27412 + ... + 27692.

It is an arithmetic number, because the mean of its divisors is an integer number (248724).

Almost surely, 2^7742112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7742112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938752).

7742112 is an abundant number, since it is smaller than the sum of its proper divisors (16135392).

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

7742112 is a wasteful number, since it uses less digits than its factorization.

7742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 7742112 is about 2782.4650941207. The cubic root of 7742112 is about 197.8274182326.

Adding to 7742112 its reverse (2112477), we get a palindrome (9854589).

The spelling of 7742112 in words is "seven million, seven hundred forty-two thousand, one hundred twelve".