742592 has 28 divisors (see below), whose sum is σ = 1514856. Its totient is φ = 360960.

The previous prime is 742591. The next prime is 742607. The reversal of 742592 is 295247.

Its product of digits (5040) is a multiple of the sum of its prime factors (336).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742592.

It is not an unprimeable number, because it can be changed into a prime (742591) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2483 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (54102).

2⁷⁴²⁵⁹² 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 742592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757428).

742592 is an abundant number, since it is smaller than the sum of its proper divisors (772264).

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

742592 is a wasteful number, since it uses less digits than its factorization.

742592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 742592 is about 861.7377791417. The cubic root of 742592 is about 90.5559008745. Note that the first 3 decimals are identical.

The spelling of 742592 in words is "seven hundred forty-two thousand, five hundred ninety-two".