742716216 has 160 divisors (see below), whose sum is σ = 2348319600. Its totient is φ = 217244160.

The previous prime is 742716103. The next prime is 742716217. The reversal of 742716216 is 612617247.

742716216 is a `hidden beast` number, since 7 + 4 + 27 + 1 + 621 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742716217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204916 + ... + 208508.

Almost surely, 2^742716216 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 742716216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174159800).

742716216 is an abundant number, since it is smaller than the sum of its proper divisors (1605603384).

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

742716216 is a wasteful number, since it uses less digits than its factorization.

742716216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3638 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 742716216 is about 27252.8203311144. The cubic root of 742716216 is about 905.6094979536.

The spelling of 742716216 in words is "seven hundred forty-two million, seven hundred sixteen thousand, two hundred sixteen".