742720 has 56 divisors (see below), whose sum is σ = 1938528. Its totient is φ = 268800.

The previous prime is 742717. The next prime is 742723. The reversal of 742720 is 27247.

It is an interprime number because it is at equal distance from previous prime (742717) and next prime (742723).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 742691 and 742700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742723) 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, 3415 + ... + 3625.

2⁷⁴²⁷²⁰ 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 742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969264).

742720 is an abundant number, since it is smaller than the sum of its proper divisors (1195808).

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

742720 is a wasteful number, since it uses less digits than its factorization.

742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 742720 is about 861.8120444737. The cubic root of 742720 is about 90.5611035921.

Adding to 742720 its reverse (27247), we get a palindrome (769967).

It can be divided in two parts, 7427 and 20, that added together give a palindrome (7447).

The spelling of 742720 in words is "seven hundred forty-two thousand, seven hundred twenty", and thus it is an iban number.