126978672 has 160 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 37739520.

The previous prime is 126978623. The next prime is 126978721. The reversal of 126978672 is 276879621.

It is an interprime number because it is at equal distance from previous prime (126978623) and next prime (126978721).

It is a super-2 number, since 2×126978672² = 32247166285767168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788397 + ... + 1788467.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 2^126978672 is an apocalyptic number.

126978672 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 126978672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

126978672 is an abundant number, since it is smaller than the sum of its proper divisors (239426448).

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

126978672 is a wasteful number, since it uses less digits than its factorization.

126978672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 126978672 is about 11268.4813528709. The cubic root of 126978672 is about 502.6244299666.

The spelling of 126978672 in words is "one hundred twenty-six million, nine hundred seventy-eight thousand, six hundred seventy-two".