126126672 has 160 divisors (see below), whose sum is σ = 401117184. Its totient is φ = 33331200.

The previous prime is 126126661. The next prime is 126126677. The reversal of 126126672 is 276621621.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126126677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405397 + ... + 405707.

Almost surely, 2^126126672 is an apocalyptic number.

126126672 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 126126672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

126126672 is an abundant number, since it is smaller than the sum of its proper divisors (274990512).

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

126126672 is a wasteful number, since it uses less digits than its factorization.

126126672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 126126672 is about 11230.6131622454. The cubic root of 126126672 is about 501.4977384129.

The spelling of 126126672 in words is "one hundred twenty-six million, one hundred twenty-six thousand, six hundred seventy-two".