63772 has 12 divisors (see below), whose sum is σ = 113400. Its totient is φ = 31376.

The previous prime is 63761. The next prime is 63773. The reversal of 63772 is 27736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63773) by changing a digit.

63772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 354 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁶³⁷⁷² is an apocalyptic number.

It is an amenable number.

63772 is a deficient number, since it is larger than the sum of its proper divisors (49628).

63772 is a wasteful number, since it uses less digits than its factorization.

63772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its digits is 1764, while the sum is 25.

The square root of 63772 is about 252.5311861929. The cubic root of 63772 is about 39.9524434818.

Adding to 63772 its product of digits (1764), we get a 16-th power (65536 = 2¹⁶).

The spelling of 63772 in words is "sixty-three thousand, seven hundred seventy-two".