272214732107400 has 384 divisors, whose sum is σ = 854440066800000. Its totient is φ = 71684960256000.

The previous prime is 272214732107399. The next prime is 272214732107407. The reversal of 272214732107400 is 4701237412272.

It is not an unprimeable number, because it can be changed into a prime (272214732107407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46397599267 + ... + 46397605133.

It is an arithmetic number, because the mean of its divisors is an integer number (2225104340625).

Almost surely, 2^{272214732107400} is an apocalyptic number.

272214732107400 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 272214732107400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427220033400000).

272214732107400 is an abundant number, since it is smaller than the sum of its proper divisors (582225334692600).

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

272214732107400 is a wasteful number, since it uses less digits than its factorization.

272214732107400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

Adding to 272214732107400 its reverse (4701237412272), we get a palindrome (276915969519672).

The spelling of 272214732107400 in words is "two hundred seventy-two trillion, two hundred fourteen billion, seven hundred thirty-two million, one hundred seven thousand, four hundred".