1171872 has 72 divisors (see below), whose sum is σ = 3600324. Its totient is φ = 359424.

The previous prime is 1171867. The next prime is 1171921. The reversal of 1171872 is 2781711.

1171872 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 318096 = 924^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3588 + ... + 3900.

2^1171872 is an apocalyptic number.

1171872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800162).

1171872 is an abundant number, since it is smaller than the sum of its proper divisors (2428452).

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

1171872 is a wasteful number, since it uses less digits than its factorization.

1171872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its digits is 784, while the sum is 27.

The square root of 1171872 is about 1082.5303690890. The cubic root of 1171872 is about 105.4289931965.

It can be divided in two parts, 117 and 1872, that multiplied together give a square (219024 = 468²).

The spelling of 1171872 in words is "one million, one hundred seventy-one thousand, eight hundred seventy-two".