126084672 has 84 divisors (see below), whose sum is σ = 413040576. Its totient is φ = 36023040.

The previous prime is 126084671. The next prime is 126084677. The reversal of 126084672 is 276480621.

126084672 is a `hidden beast` number, since 1 + 2 + 608 + 46 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126084671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11604 + ... + 19667.

Almost surely, 2^126084672 is an apocalyptic number.

126084672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126084672 is an abundant number, since it is smaller than the sum of its proper divisors (286955904).

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

126084672 is a wasteful number, since it uses less digits than its factorization.

126084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31296 (or 31283 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126084672 is about 11228.7431175533. The cubic root of 126084672 is about 501.4420662249.

It can be divided in two parts, 126084 and 672, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 126084672 in words is "one hundred twenty-six million, eighty-four thousand, six hundred seventy-two".