107772 has 24 divisors (see below), whose sum is σ = 287616. Its totient is φ = 30768.

The previous prime is 107761. The next prime is 107773. The reversal of 107772 is 277701.

It is a super-2 number, since 2×107772² = 23229607968, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107772.

It is not an unprimeable number, because it can be changed into a prime (107773) 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, 558 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (11984).

2¹⁰⁷⁷⁷² is an apocalyptic number.

107772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107772 is an abundant number, since it is smaller than the sum of its proper divisors (179844).

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

107772 is a wasteful number, since it uses less digits than its factorization.

107772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 24.

The square root of 107772 is about 328.2864602752. The cubic root of 107772 is about 47.5884961490.

The spelling of 107772 in words is "one hundred seven thousand, seven hundred seventy-two", and thus it is an iban number.