126202272 has 96 divisors (see below), whose sum is σ = 384394752. Its totient is φ = 35506944.

The previous prime is 126202243. The next prime is 126202273. The reversal of 126202272 is 272202621.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (126202273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43623 + ... + 46425.

It is an arithmetic number, because the mean of its divisors is an integer number (4004112).

Almost surely, 2^126202272 is an apocalyptic number.

126202272 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 126202272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192197376).

126202272 is an abundant number, since it is smaller than the sum of its proper divisors (258192480).

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

126202272 is a wasteful number, since it uses less digits than its factorization.

126202272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 126202272 is about 11233.9784582311. The cubic root of 126202272 is about 501.5979172145.

Adding to 126202272 its reverse (272202621), we get a palindrome (398404893).

The spelling of 126202272 in words is "one hundred twenty-six million, two hundred two thousand, two hundred seventy-two".