126205728 has 48 divisors (see below), whose sum is σ = 361410336. Its totient is φ = 38243840.

The previous prime is 126205721. The next prime is 126205753. The reversal of 126205728 is 827502621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (126205721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58701 + ... + 60812.

It is an arithmetic number, because the mean of its divisors is an integer number (7529382).

Almost surely, 2^126205728 is an apocalyptic number.

It is an amenable number.

126205728 is an abundant number, since it is smaller than the sum of its proper divisors (235204608).

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

126205728 is a wasteful number, since it uses less digits than its factorization.

126205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119537 (or 119529 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 126205728 is about 11234.1322762374. The cubic root of 126205728 is about 501.6024958604.

The spelling of 126205728 in words is "one hundred twenty-six million, two hundred five thousand, seven hundred twenty-eight".