190440072 has 96 divisors (see below), whose sum is σ = 539054880. Its totient is φ = 62985600.

The previous prime is 190440067. The next prime is 190440079. The reversal of 190440072 is 270044091.

It is a happy number.

190440072 is a `hidden beast` number, since 190 + 4 + 400 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (190440079) 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 23 ways as a sum of consecutive naturals, for example, 316572 + ... + 317172.

It is an arithmetic number, because the mean of its divisors is an integer number (5615155).

Almost surely, 2^190440072 is an apocalyptic number.

190440072 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 190440072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269527440).

190440072 is an abundant number, since it is smaller than the sum of its proper divisors (348614808).

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

190440072 is a wasteful number, since it uses less digits than its factorization.

190440072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 190440072 is about 13800.0026086954. The cubic root of 190440072 is about 575.3332127888. Note that the first 3 decimals are identical.

The spelling of 190440072 in words is "one hundred ninety million, four hundred forty thousand, seventy-two".