1007027172 has 18 divisors (see below), whose sum is σ = 2545540998. Its totient is φ = 335675712.

The previous prime is 1007027167. The next prime is 1007027207. The reversal of 1007027172 is 2717207001.

It can be written as a sum of positive squares in only one way, i.e., 812592036 + 194435136 = 28506^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13986453 + ... + 13986524.

Almost surely, 2^1007027172 is an apocalyptic number.

1007027172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007027172 is an abundant number, since it is smaller than the sum of its proper divisors (1538513826).

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

1007027172 is a wasteful number, since it uses less digits than its factorization.

1007027172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27972987 (or 27972982 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 1007027172 is about 31733.6914335537. The cubic root of 1007027172 is about 1002.3369251932.

The spelling of 1007027172 in words is "one billion, seven million, twenty-seven thousand, one hundred seventy-two".