126972 has 18 divisors (see below), whose sum is σ = 321048. Its totient is φ = 42312.

The previous prime is 126967. The next prime is 126989. The reversal of 126972 is 279621.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×126972² = 32243777568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

126972 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 5 ways as a sum of consecutive naturals, for example, 1728 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (17836).

2¹²⁶⁹⁷² is an apocalyptic number.

126972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126972 is an abundant number, since it is smaller than the sum of its proper divisors (194076).

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

126972 is a wasteful number, since it uses less digits than its factorization.

126972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3532 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 126972 is about 356.3313065112. The cubic root of 126972 is about 50.2615626470.

The spelling of 126972 in words is "one hundred twenty-six thousand, nine hundred seventy-two".