126880272 has 120 divisors (see below), whose sum is σ = 375634688. Its totient is φ = 39916800.

The previous prime is 126880261. The next prime is 126880283. The reversal of 126880272 is 272088621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126880261) and next prime (126880283).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191622 + ... + 192282.

Almost surely, 2^126880272 is an apocalyptic number.

126880272 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 126880272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187817344).

126880272 is an abundant number, since it is smaller than the sum of its proper divisors (248754416).

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

126880272 is a wasteful number, since it uses less digits than its factorization.

126880272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 126880272 is about 11264.1143460105. The cubic root of 126880272 is about 502.4945629470.

The spelling of 126880272 in words is "one hundred twenty-six million, eight hundred eighty thousand, two hundred seventy-two".