742320 has 60 divisors (see below), whose sum is σ = 2495376. Its totient is φ = 197760.

The previous prime is 742307. The next prime is 742327. The reversal of 742320 is 23247.

It is a happy number.

742320 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 742293 and 742302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742320.

It is not an unprimeable number, because it can be changed into a prime (742327) by changing a digit.

742320 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 11 ways as a sum of consecutive naturals, for example, 205 + ... + 1235.

2⁷⁴²³²⁰ 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 742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247688).

742320 is an abundant number, since it is smaller than the sum of its proper divisors (1753056).

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

742320 is a wasteful number, since it uses less digits than its factorization.

742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 742320 is about 861.5799440563. The cubic root of 742320 is about 90.5448431142.

Adding to 742320 its reverse (23247), we get a palindrome (765567).

The spelling of 742320 in words is "seven hundred forty-two thousand, three hundred twenty", and thus it is an iban number.