742352 has 40 divisors (see below), whose sum is σ = 1604064. Its totient is φ = 330624.

The previous prime is 742351. The next prime is 742369. The reversal of 742352 is 253247.

742352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742351) 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, 8903 + ... + 8985.

2⁷⁴²³⁵² 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 742352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802032).

742352 is an abundant number, since it is smaller than the sum of its proper divisors (861712).

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

742352 is a wasteful number, since it uses less digits than its factorization.

742352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 742352 is about 861.5985143905. The cubic root of 742352 is about 90.5461441674.

Adding to 742352 its reverse (253247), we get a palindrome (995599).

The spelling of 742352 in words is "seven hundred forty-two thousand, three hundred fifty-two".