272196864 has 216 divisors, whose sum is σ = 840100352. Its totient is φ = 84602880.

The previous prime is 272196853. The next prime is 272196893. The reversal of 272196864 is 468691272.

It is a happy number.

It is a super-2 number, since 2×272196864² = 148182265542868992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642637 + ... + 2642739.

Almost surely, 2^272196864 is an apocalyptic number.

272196864 is a gapful number since it is divisible by the number (24) 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 272196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420050176).

272196864 is an abundant number, since it is smaller than the sum of its proper divisors (567903488).

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

272196864 is a wasteful number, since it uses less digits than its factorization.

272196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 272196864 is about 16498.3897396079. The cubic root of 272196864 is about 648.0786370045.

It can be divided in two parts, 272 and 196864, that added together give a square (197136 = 444²).

The spelling of 272196864 in words is "two hundred seventy-two million, one hundred ninety-six thousand, eight hundred sixty-four".