119727072 has 144 divisors (see below), whose sum is σ = 359115120. Its totient is φ = 39232512.

The previous prime is 119727067. The next prime is 119727131. The reversal of 119727072 is 270727911.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691978 + ... + 692150.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 2^119727072 is an apocalyptic number.

119727072 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 119727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557560).

119727072 is an abundant number, since it is smaller than the sum of its proper divisors (239388048).

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

119727072 is an equidigital number, since it uses as much as digits as its factorization.

119727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 119727072 is about 10941.9866569102. The cubic root of 119727072 is about 492.8681874922.

It can be divided in two parts, 11972 and 7072, that added together give a square (19044 = 138²).

The spelling of 119727072 in words is "one hundred nineteen million, seven hundred twenty-seven thousand, seventy-two".