1201792 has 32 divisors (see below), whose sum is σ = 2463300. Its totient is φ = 583680.

The previous prime is 1201787. The next prime is 1201793. The reversal of 1201792 is 2971021.

It can be written as a sum of positive squares in 2 ways, for example, as 1201216 + 576 = 1096^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1201792² = 2888608022528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1201793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5134 + ... + 5362.

2^1201792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231650).

1201792 is an abundant number, since it is smaller than the sum of its proper divisors (1261508).

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

1201792 is an equidigital number, since it uses as much as digits as its factorization.

1201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1201792 is about 1096.2627422293. The cubic root of 1201792 is about 106.3187273914.

The spelling of 1201792 in words is "one million, two hundred one thousand, seven hundred ninety-two".