272076480 has 336 divisors, whose sum is σ = 1037356320. Its totient is φ = 65415168.

The previous prime is 272076479. The next prime is 272076509. The reversal of 272076480 is 84670272.

272076480 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 7 + 648 + 0 = 666.

It is a super-2 number, since 2×272076480² = 148051221938380800, which contains 22 as substring.

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

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, 6327339 + ... + 6327381.

It is an arithmetic number, because the mean of its divisors is an integer number (3087370).

Almost surely, 2^272076480 is an apocalyptic number.

272076480 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 272076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518678160).

272076480 is an abundant number, since it is smaller than the sum of its proper divisors (765279840).

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

272076480 is a wasteful number, since it uses less digits than its factorization.

272076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 272076480 is about 16494.7409800821. The cubic root of 272076480 is about 647.9830814056.

The spelling of 272076480 in words is "two hundred seventy-two million, seventy-six thousand, four hundred eighty".