272216400 has 120 divisors (see below), whose sum is σ = 895713504. Its totient is φ = 70617600.

The previous prime is 272216389. The next prime is 272216407. The reversal of 272216400 is 4612272.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272216407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41335 + ... + 47465.

Almost surely, 2^272216400 is an apocalyptic number.

272216400 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 272216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447856752).

272216400 is an abundant number, since it is smaller than the sum of its proper divisors (623497104).

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

272216400 is a wasteful number, since it uses less digits than its factorization.

272216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6178 counting only the distinct ones).

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

The square root of 272216400 is about 16498.9817867649. The cubic root of 272216400 is about 648.0941411770.

Adding to 272216400 its reverse (4612272), we get a palindrome (276828672).

The spelling of 272216400 in words is "two hundred seventy-two million, two hundred sixteen thousand, four hundred".