742055060772 has 36 divisors (see below), whose sum is σ = 1875825102060. Its totient is φ = 247341821952.

The previous prime is 742055060749. The next prime is 742055060779. The reversal of 742055060772 is 277060550247.

742055060772 is a `hidden beast` number, since 7 + 4 + 20 + 550 + 6 + 0 + 7 + 72 = 666.

742055060772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 729271592676 + 12783468096 = 853974^2 + 113064^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×742055060772² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (742055060779) 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, 533908 + ... + 1330100.

It is an arithmetic number, because the mean of its divisors is an integer number (52106252835).

Almost surely, 2^742055060772 is an apocalyptic number.

It is an amenable number.

742055060772 is an abundant number, since it is smaller than the sum of its proper divisors (1133770041288).

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

742055060772 is a wasteful number, since it uses less digits than its factorization.

742055060772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822092 (or 822087 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 742055060772 in words is "seven hundred forty-two billion, fifty-five million, sixty thousand, seven hundred seventy-two".