10071632772 has 24 divisors (see below), whose sum is σ = 26111640800. Its totient is φ = 3357210888.

The previous prime is 10071632761. The next prime is 10071632801. The reversal of 10071632772 is 27723617001.

10071632772 is a `hidden beast` number, since 10 + 0 + 7 + 1 + 632 + 7 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46627822 + ... + 46628037.

Almost surely, 2^10071632772 is an apocalyptic number.

10071632772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10071632772 is an abundant number, since it is smaller than the sum of its proper divisors (16040008028).

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

10071632772 is a wasteful number, since it uses less digits than its factorization.

10071632772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93255872 (or 93255864 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 10071632772 in words is "ten billion, seventy-one million, six hundred thirty-two thousand, seven hundred seventy-two".