126972288 has 96 divisors (see below), whose sum is σ = 384672600. Its totient is φ = 40089600.

The previous prime is 126972253. The next prime is 126972289. The reversal of 126972288 is 882279621.

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

It is a super-2 number, since 2×126972288² = 32243923839909888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126972289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18988 + ... + 24788.

Almost surely, 2^126972288 is an apocalyptic number.

126972288 is a gapful number since it is divisible by the number (18) 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 126972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192336300).

126972288 is an abundant number, since it is smaller than the sum of its proper divisors (257700312).

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

126972288 is a wasteful number, since it uses less digits than its factorization.

126972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5825 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 126972288 is about 11268.1980813260. The cubic root of 126972288 is about 502.6160064833.

It can be divided in two parts, 126972 and 288, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 126972288 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, two hundred eighty-eight".