126752010 has 128 divisors (see below), whose sum is σ = 389781504. Its totient is φ = 25608960.

The previous prime is 126752009. The next prime is 126752027. The reversal of 126752010 is 10257621.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84729 + ... + 86211.

It is an arithmetic number, because the mean of its divisors is an integer number (3045168).

Almost surely, 2^126752010 is an apocalyptic number.

126752010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126752010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194890752).

126752010 is an abundant number, since it is smaller than the sum of its proper divisors (263029494).

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

126752010 is a wasteful number, since it uses less digits than its factorization.

126752010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 126752010 is about 11258.4195160777. The cubic root of 126752010 is about 502.3251836142.

The spelling of 126752010 in words is "one hundred twenty-six million, seven hundred fifty-two thousand, ten".