272630400 has 192 divisors, whose sum is σ = 1026511680. Its totient is φ = 62300160.

The previous prime is 272630387. The next prime is 272630401. The reversal of 272630400 is 4036272.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (272630401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65172 + ... + 69228.

It is an arithmetic number, because the mean of its divisors is an integer number (5346415).

Almost surely, 2^272630400 is an apocalyptic number.

272630400 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 272630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513255840).

272630400 is an abundant number, since it is smaller than the sum of its proper divisors (753881280).

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

272630400 is a wasteful number, since it uses less digits than its factorization.

272630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 272630400 is about 16511.5232489313. The cubic root of 272630400 is about 648.4225258360.

Adding to 272630400 its reverse (4036272), we get a palindrome (276666672).

The spelling of 272630400 in words is "two hundred seventy-two million, six hundred thirty thousand, four hundred".