742255728 has 80 divisors (see below), whose sum is σ = 1948937760. Its totient is φ = 243392512.

The previous prime is 742255727. The next prime is 742255739. The reversal of 742255728 is 827552247.

Its product of digits (313600) is a multiple of the sum of its prime divisors (980).

It is a self number, because there is not a number n which added to its sum of digits gives 742255728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742255727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251400 + ... + 1251992.

It is an arithmetic number, because the mean of its divisors is an integer number (24361722).

Almost surely, 2^742255728 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 742255728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974468880).

742255728 is an abundant number, since it is smaller than the sum of its proper divisors (1206682032).

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

742255728 is a wasteful number, since it uses less digits than its factorization.

742255728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The square root of 742255728 is about 27244.3705744875. The cubic root of 742255728 is about 905.4222983599.

The spelling of 742255728 in words is "seven hundred forty-two million, two hundred fifty-five thousand, seven hundred twenty-eight".