126753792 has 176 divisors, whose sum is σ = 383591424. Its totient is φ = 37171200.

The previous prime is 126753773. The next prime is 126753799. The reversal of 126753792 is 297357621.

It is a tau number, because it is divible by the number of its divisors (176).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126753799) 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, 4088817 + ... + 4088847.

Almost surely, 2^126753792 is an apocalyptic number.

126753792 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 126753792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191795712).

126753792 is an abundant number, since it is smaller than the sum of its proper divisors (256837632).

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

126753792 is an equidigital number, since it uses as much as digits as its factorization.

126753792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 126753792 is about 11258.4986565705. The cubic root of 126753792 is about 502.3275376579.

The spelling of 126753792 in words is "one hundred twenty-six million, seven hundred fifty-three thousand, seven hundred ninety-two".