742368 has 96 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 207360.

The previous prime is 742351. The next prime is 742369. The reversal of 742368 is 863247.

742368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×742368² = 1102220494848, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7⁵ + 4⁷ + 3¹² + 2¹⁷ + 6⁶ + 8 .

Its product of digits (8064) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742369) by changing a digit.

742368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20046 + ... + 20082.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

742368 is a Friedman number, since it can be written as 863^2-7^4, using all its digits and the basic arithmetic operations.

2⁷⁴²³⁶⁸ 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 742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

742368 is an abundant number, since it is smaller than the sum of its proper divisors (1555872).

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

742368 is a wasteful number, since it uses less digits than its factorization.

742368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 742368 is about 861.6077994076. The cubic root of 742368 is about 90.5467946800.

It can be divided in two parts, 74 and 2368, that added together give a palindrome (2442).

The spelling of 742368 in words is "seven hundred forty-two thousand, three hundred sixty-eight".