254216072 has 32 divisors (see below), whose sum is σ = 532677600. Its totient is φ = 112732800.

The previous prime is 254216071. The next prime is 254216077. The reversal of 254216072 is 270612452.

It is a happy number.

254216072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254216072² = 129251622526218368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254216071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31622 + ... + 38837.

It is an arithmetic number, because the mean of its divisors is an integer number (16646175).

Almost surely, 2^254216072 is an apocalyptic number.

254216072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

254216072 is an abundant number, since it is smaller than the sum of its proper divisors (278461528).

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

254216072 is a wasteful number, since it uses less digits than its factorization.

254216072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70517 (or 70513 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 254216072 is about 15944.1547910198. The cubic root of 254216072 is about 633.4820809128.

The spelling of 254216072 in words is "two hundred fifty-four million, two hundred sixteen thousand, seventy-two".