272030400 has 210 divisors, whose sum is σ = 1000391700. Its totient is φ = 72506880.

The previous prime is 272030393. The next prime is 272030419. The reversal of 272030400 is 4030272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128551 + ... + 130649.

It is an arithmetic number, because the mean of its divisors is an integer number (4763770).

Almost surely, 2^272030400 is an apocalyptic number.

272030400 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 272030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500195850).

272030400 is an abundant number, since it is smaller than the sum of its proper divisors (728361300).

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

272030400 is a wasteful number, since it uses less digits than its factorization.

272030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 272030400 is about 16493.3441120956. The cubic root of 272030400 is about 647.9464976403.

Adding to 272030400 its reverse (4030272), we get a palindrome (276060672).

The spelling of 272030400 in words is "two hundred seventy-two million, thirty thousand, four hundred".