742200 has 48 divisors (see below), whose sum is σ = 2302680. Its totient is φ = 197760.

The previous prime is 742199. The next prime is 742201. The reversal of 742200 is 2247.

742200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (742199) and next prime (742201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 742200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742200.

It is not an unprimeable number, because it can be changed into a prime (742201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 1218.

2⁷⁴²²⁰⁰ 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 742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151340).

742200 is an abundant number, since it is smaller than the sum of its proper divisors (1560480).

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

742200 is a wasteful number, since it uses less digits than its factorization.

742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 742200 is about 861.5103017376. The cubic root of 742200 is about 90.5399638318.

Adding to 742200 its reverse (2247), we get a palindrome (744447).

The spelling of 742200 in words is "seven hundred forty-two thousand, two hundred", and thus it is an iban number.