742360 has 32 divisors (see below), whose sum is σ = 1701360. Its totient is φ = 291456.

The previous prime is 742351. The next prime is 742369. The reversal of 742360 is 63247.

It is an interprime number because it is at equal distance from previous prime (742351) and next prime (742369).

It is a d-powerful number, because it can be written as 7⁵ + 4⁷ + 3¹² + 2¹⁷ + 6⁶ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742369) 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, 2542 + ... + 2818.

2⁷⁴²³⁶⁰ 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 742360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850680).

742360 is an abundant number, since it is smaller than the sum of its proper divisors (959000).

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

742360 is a wasteful number, since it uses less digits than its factorization.

742360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 742360 is about 861.6031569116. The cubic root of 742360 is about 90.5464694248.

The spelling of 742360 in words is "seven hundred forty-two thousand, three hundred sixty".