126876672 has 176 divisors, whose sum is σ = 405797280. Its totient is φ = 38928384.

The previous prime is 126876667. The next prime is 126876691. The reversal of 126876672 is 276678621.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359248 + ... + 359600.

Almost surely, 2^126876672 is an apocalyptic number.

126876672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202898640).

126876672 is an abundant number, since it is smaller than the sum of its proper divisors (278920608).

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

126876672 is a wasteful number, since it uses less digits than its factorization.

126876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 126876672 is about 11263.9545453628. The cubic root of 126876672 is about 502.4898104416.

The spelling of 126876672 in words is "one hundred twenty-six million, eight hundred seventy-six thousand, six hundred seventy-two".