10075736772 has 30 divisors (see below), whose sum is σ = 26339967038. Its totient is φ = 3358578816.

The previous prime is 10075736767. The next prime is 10075736789. The reversal of 10075736772 is 27763757001.

10075736772 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 573 + 6 + 7 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9990802116 + 84934656 = 99954^2 + 9216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15548653 + ... + 15549300.

Almost surely, 2^10075736772 is an apocalyptic number.

10075736772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10075736772 is an abundant number, since it is smaller than the sum of its proper divisors (16264230266).

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

10075736772 is a wasteful number, since it uses less digits than its factorization.

10075736772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31097969 (or 31097958 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 10075736772 in words is "ten billion, seventy-five million, seven hundred thirty-six thousand, seven hundred seventy-two".