272272029920 has 192 divisors, whose sum is σ = 745780996800. Its totient is φ = 92834856960.

The previous prime is 272272029893. The next prime is 272272029959. The reversal of 272272029920 is 29920272272.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8031566 + ... + 8065394.

It is an arithmetic number, because the mean of its divisors is an integer number (3884276025).

Almost surely, 2^272272029920 is an apocalyptic number.

272272029920 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 272272029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372890498400).

272272029920 is an abundant number, since it is smaller than the sum of its proper divisors (473508966880).

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

272272029920 is a wasteful number, since it uses less digits than its factorization.

272272029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34141 (or 34133 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 272272029920 in words is "two hundred seventy-two billion, two hundred seventy-two million, twenty-nine thousand, nine hundred twenty".