742716 has 72 divisors (see below), whose sum is σ = 2167760. Its totient is φ = 218592.

The previous prime is 742711. The next prime is 742717. The reversal of 742716 is 617247.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 742716.

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 742716.

It is not an unprimeable number, because it can be changed into a prime (742711) by changing a digit.

742716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 32281 + ... + 32303.

2⁷⁴²⁷¹⁶ 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 742716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083880).

742716 is an abundant number, since it is smaller than the sum of its proper divisors (1425044).

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

742716 is a wasteful number, since it uses less digits than its factorization.

742716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 742716 is about 861.8097237790. The cubic root of 742716 is about 90.5609410162.

The spelling of 742716 in words is "seven hundred forty-two thousand, seven hundred sixteen".