1007172 has 36 divisors (see below), whose sum is σ = 2580396. Its totient is φ = 331200.

The previous prime is 1007161. The next prime is 1007173. The reversal of 1007172 is 2717001.

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 389376 = 786^2 + 624^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1007173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3498 + ... + 3774.

2^1007172 is an apocalyptic number.

1007172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007172 is an abundant number, since it is smaller than the sum of its proper divisors (1573224).

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

1007172 is a wasteful number, since it uses less digits than its factorization.

1007172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1007172 is about 1003.5795932561. The cubic root of 1007172 is about 100.2384974043.

The spelling of 1007172 in words is "one million, seven thousand, one hundred seventy-two".