42772095072 has 144 divisors (see below), whose sum is σ = 141967268352. Its totient is φ = 11960559360.

The previous prime is 42772095019. The next prime is 42772095073. The reversal of 42772095072 is 27059027724.

42772095072 is a `hidden beast` number, since 427 + 72 + 0 + 95 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42772095073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130954 + ... + 320457.

It is an arithmetic number, because the mean of its divisors is an integer number (985883808).

Almost surely, 2^42772095072 is an apocalyptic number.

42772095072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42772095072 is an abundant number, since it is smaller than the sum of its proper divisors (99195173280).

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

42772095072 is a wasteful number, since it uses less digits than its factorization.

42772095072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451481 (or 451470 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 42772095072 in words is "forty-two billion, seven hundred seventy-two million, ninety-five thousand, seventy-two".