272189400 has 192 divisors, whose sum is σ = 971961600. Its totient is φ = 61724160.

The previous prime is 272189387. The next prime is 272189413. The reversal of 272189400 is 4981272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272189387) and next prime (272189413).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 961659 + ... + 961941.

It is an arithmetic number, because the mean of its divisors is an integer number (5062300).

Almost surely, 2^272189400 is an apocalyptic number.

272189400 is a gapful number since it is divisible by the number (20) 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 272189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485980800).

272189400 is an abundant number, since it is smaller than the sum of its proper divisors (699772200).

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

272189400 is a wasteful number, since it uses less digits than its factorization.

272189400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 272189400 is about 16498.1635341634. The cubic root of 272189400 is about 648.0727132244.

The spelling of 272189400 in words is "two hundred seventy-two million, one hundred eighty-nine thousand, four hundred".