126742752 has 96 divisors (see below), whose sum is σ = 391456800. Its totient is φ = 39757824.

The previous prime is 126742747. The next prime is 126742753. The reversal of 126742752 is 257247621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126742753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10374 + ... + 19002.

It is an arithmetic number, because the mean of its divisors is an integer number (4077675).

Almost surely, 2^126742752 is an apocalyptic number.

126742752 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 126742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195728400).

126742752 is an abundant number, since it is smaller than the sum of its proper divisors (264714048).

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

126742752 is a wasteful number, since it uses less digits than its factorization.

126742752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665 (or 8651 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 126742752 is about 11258.0083496150. The cubic root of 126742752 is about 502.3129533288.

The spelling of 126742752 in words is "one hundred twenty-six million, seven hundred forty-two thousand, seven hundred fifty-two".