119772072 has 144 divisors (see below), whose sum is σ = 399739860. Its totient is φ = 32191488.

The previous prime is 119772061. The next prime is 119772073. The reversal of 119772072 is 270277911.

It can be written as a sum of positive squares in 2 ways, for example, as 116510436 + 3261636 = 10794^2 + 1806^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (119772073) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 58978 + ... + 60974.

Almost surely, 2^119772072 is an apocalyptic number.

119772072 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 119772072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199869930).

119772072 is an abundant number, since it is smaller than the sum of its proper divisors (279967788).

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

119772072 is a wasteful number, since it uses less digits than its factorization.

119772072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2026 counting only the distinct ones).

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

The square root of 119772072 is about 10944.0427630743. The cubic root of 119772072 is about 492.9299287228.

The spelling of 119772072 in words is "one hundred nineteen million, seven hundred seventy-two thousand, seventy-two".