1205772 has 24 divisors (see below), whose sum is σ = 2847600. Its totient is φ = 397056.

The previous prime is 1205767. The next prime is 1205773. The reversal of 1205772 is 2775021.

It is a super-2 number, since 2×1205772² = 2907772231968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1205773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (118650).

2^1205772 is an apocalyptic number.

1205772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1205772 is an abundant number, since it is smaller than the sum of its proper divisors (1641828).

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

1205772 is a wasteful number, since it uses less digits than its factorization.

1205772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 1205772 is about 1098.0765000673. The cubic root of 1205772 is about 106.4359640612.

The spelling of 1205772 in words is "one million, two hundred five thousand, seven hundred seventy-two".