126972252 has 96 divisors (see below), whose sum is σ = 380298240. Its totient is φ = 36207360.

The previous prime is 126972233. The next prime is 126972253. The reversal of 126972252 is 252279621.

It is a happy number.

It is a super-2 number, since 2×126972252² = 32243905555903008, which contains 22 as substring.

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 (126972253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17053 + ... + 23339.

It is an arithmetic number, because the mean of its divisors is an integer number (3961440).

Almost surely, 2^126972252 is an apocalyptic number.

126972252 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 126972252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190149120).

126972252 is an abundant number, since it is smaller than the sum of its proper divisors (253325988).

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

126972252 is a wasteful number, since it uses less digits than its factorization.

126972252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6320 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 126972252 is about 11268.1964839099. The cubic root of 126972252 is about 502.6159589817.

The spelling of 126972252 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, two hundred fifty-two".