121772 has 12 divisors (see below), whose sum is σ = 243600. Its totient is φ = 52176.

The previous prime is 121763. The next prime is 121787. The reversal of 121772 is 277121.

121772 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is a pancake number, because a pancake can be divided into 121772 parts by 493 straight cuts.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2147 + ... + 2202.

It is an arithmetic number, because the mean of its divisors is an integer number (20300).

2¹²¹⁷⁷² is an apocalyptic number.

It is an amenable number.

121772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

121772 is a wasteful number, since it uses less digits than its factorization.

121772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4358 counting only the distinct ones).

The product of its digits is 196, while the sum is 20.

The square root of 121772 is about 348.9584502487. The cubic root of 121772 is about 49.5658410313.

Adding to 121772 its reverse (277121), we get a palindrome (398893).

The spelling of 121772 in words is "one hundred twenty-one thousand, seven hundred seventy-two", and thus it is an iban number.