126216072 has 48 divisors (see below), whose sum is σ = 342367740. Its totient is φ = 42006528.

The previous prime is 126216053. The next prime is 126216089. The reversal of 126216072 is 270612621.

It can be written as a sum of positive squares in 2 ways, for example, as 86601636 + 39614436 = 9306^2 + 6294^2 .

It is a super-2 number, since 2×126216072² = 31860993662218368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73528 + ... + 75224.

Almost surely, 2^126216072 is an apocalyptic number.

126216072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126216072 is an abundant number, since it is smaller than the sum of its proper divisors (216151668).

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

126216072 is a wasteful number, since it uses less digits than its factorization.

126216072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126216072 is about 11234.5926494911. The cubic root of 126216072 is about 501.6161995028.

Adding to 126216072 its reverse (270612621), we get a palindrome (396828693).

The spelling of 126216072 in words is "one hundred twenty-six million, two hundred sixteen thousand, seventy-two".