272119680 has 384 divisors, whose sum is σ = 1139935680. Its totient is φ = 58392576.

The previous prime is 272119651. The next prime is 272119703. The reversal of 272119680 is 86911272.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685242 + ... + 685638.

Almost surely, 2^272119680 is an apocalyptic number.

272119680 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 272119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569967840).

272119680 is an abundant number, since it is smaller than the sum of its proper divisors (867816000).

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

272119680 is a wasteful number, since it uses less digits than its factorization.

272119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 272119680 is about 16496.0504363923. The cubic root of 272119680 is about 648.0173749342.

The spelling of 272119680 in words is "two hundred seventy-two million, one hundred nineteen thousand, six hundred eighty".