272199096 has 256 divisors, whose sum is σ = 870912000. Its totient is φ = 78174720.

The previous prime is 272199077. The next prime is 272199101. The reversal of 272199096 is 690991272.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4613515 + ... + 4613573.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^272199096 is an apocalyptic number.

272199096 is a gapful number since it is divisible by the number (26) 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 272199096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

272199096 is an abundant number, since it is smaller than the sum of its proper divisors (598712904).

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

272199096 is a wasteful number, since it uses less digits than its factorization.

272199096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 272199096 is about 16498.4573824343. The cubic root of 272199096 is about 648.0804084033.

It can be divided in two parts, 27219 and 9096, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 272199096 in words is "two hundred seventy-two million, one hundred ninety-nine thousand, ninety-six".