122727072 has 96 divisors (see below), whose sum is σ = 359009280. Its totient is φ = 36449280.

The previous prime is 122727067. The next prime is 122727091. The reversal of 122727072 is 270727221.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34497 + ... + 37887.

It is an arithmetic number, because the mean of its divisors is an integer number (3739680).

Almost surely, 2^122727072 is an apocalyptic number.

122727072 is a gapful number since it is divisible by the number (12) 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 122727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179504640).

122727072 is an abundant number, since it is smaller than the sum of its proper divisors (236282208).

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

122727072 is a wasteful number, since it uses less digits than its factorization.

122727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 122727072 is about 11078.2251286025. The cubic root of 122727072 is about 496.9508727774.

The spelling of 122727072 in words is "one hundred twenty-two million, seven hundred twenty-seven thousand, seventy-two".