190072512 has 336 divisors, whose sum is σ = 684702720. Its totient is φ = 49176576.

The previous prime is 190072481. The next prime is 190072517. The reversal of 190072512 is 215270091.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×190072512² = 72255119635980288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190072517) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3221539 + ... + 3221597.

Almost surely, 2^190072512 is an apocalyptic number.

190072512 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 190072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342351360).

190072512 is an abundant number, since it is smaller than the sum of its proper divisors (494630208).

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

190072512 is a wasteful number, since it uses less digits than its factorization.

190072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 190072512 is about 13786.6787878735. The cubic root of 190072512 is about 574.9628326323.

The spelling of 190072512 in words is "one hundred ninety million, seventy-two thousand, five hundred twelve".