272076984 has 192 divisors, whose sum is σ = 806682240. Its totient is φ = 82667520.

The previous prime is 272076983. The next prime is 272076989. The reversal of 272076984 is 489670272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272076983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5133502 + ... + 5133554.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^272076984 is an apocalyptic number.

272076984 is a gapful number since it is divisible by the number (24) 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 272076984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

272076984 is an abundant number, since it is smaller than the sum of its proper divisors (534605256).

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

272076984 is a wasteful number, since it uses less digits than its factorization.

272076984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 272076984 is about 16494.7562576717. The cubic root of 272076984 is about 647.9834815177.

It can be divided in two parts, 27207 and 6984, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 272076984 in words is "two hundred seventy-two million, seventy-six thousand, nine hundred eighty-four".