191007072 has 120 divisors (see below), whose sum is σ = 571725000. Its totient is φ = 62539776.

The previous prime is 191007049. The next prime is 191007199. The reversal of 191007072 is 270700191.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 152304 + ... + 153552.

It is an arithmetic number, because the mean of its divisors is an integer number (4764375).

Almost surely, 2^191007072 is an apocalyptic number.

191007072 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 191007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285862500).

191007072 is an abundant number, since it is smaller than the sum of its proper divisors (380717928).

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

191007072 is a wasteful number, since it uses less digits than its factorization.

191007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 191007072 is about 13820.5308146974. The cubic root of 191007072 is about 575.9036297106.

The spelling of 191007072 in words is "one hundred ninety-one million, seven thousand, seventy-two".