119268072 has 256 divisors, whose sum is σ = 423014400. Its totient is φ = 30240000.

The previous prime is 119268053. The next prime is 119268089. The reversal of 119268072 is 270862911.

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 63 ways as a sum of consecutive naturals, for example, 1180822 + ... + 1180922.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^119268072 is an apocalyptic number.

119268072 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 119268072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

119268072 is an abundant number, since it is smaller than the sum of its proper divisors (303746328).

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

119268072 is a wasteful number, since it uses less digits than its factorization.

119268072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 119268072 is about 10920.9922626106. The cubic root of 119268072 is about 492.2375414517.

The spelling of 119268072 in words is "one hundred nineteen million, two hundred sixty-eight thousand, seventy-two".