126642372 has 72 divisors (see below), whose sum is σ = 318578400. Its totient is φ = 39042432.

The previous prime is 126642337. The next prime is 126642419. The reversal of 126642372 is 273246621.

Its product of digits (24192) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

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, 1422904 + ... + 1422992.

It is an arithmetic number, because the mean of its divisors is an integer number (4424700).

Almost surely, 2^126642372 is an apocalyptic number.

126642372 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 126642372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159289200).

126642372 is an abundant number, since it is smaller than the sum of its proper divisors (191936028).

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

126642372 is a wasteful number, since it uses less digits than its factorization.

126642372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 192 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 126642372 is about 11253.5493067743. The cubic root of 126642372 is about 502.1803080276.

Adding to 126642372 its reverse (273246621), we get a palindrome (399888993).

The spelling of 126642372 in words is "one hundred twenty-six million, six hundred forty-two thousand, three hundred seventy-two".