126671872 has 44 divisors (see below), whose sum is σ = 255891376. Its totient is φ = 62668800.

The previous prime is 126671849. The next prime is 126671887. The reversal of 126671872 is 278176621.

It is a super-4 number, since 4×126671872⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

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, 104872 + ... + 106072.

Almost surely, 2^126671872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127945688).

126671872 is an abundant number, since it is smaller than the sum of its proper divisors (129219504).

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

126671872 is a wasteful number, since it uses less digits than its factorization.

126671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 126671872 is about 11254.8599280489. The cubic root of 126671872 is about 502.2192975294.

The spelling of 126671872 in words is "one hundred twenty-six million, six hundred seventy-one thousand, eight hundred seventy-two".