207891072 has 96 divisors (see below), whose sum is σ = 603900180. Its totient is φ = 68640768.

The previous prime is 207891067. The next prime is 207891077. The reversal of 207891072 is 270198702.

It is an interprime number because it is at equal distance from previous prime (207891067) and next prime (207891077).

It can be written as a sum of positive squares in 2 ways, for example, as 162409536 + 45481536 = 12744^2 + 6744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207891077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129378 + ... + 130974.

Almost surely, 2^207891072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301950090).

207891072 is an abundant number, since it is smaller than the sum of its proper divisors (396009108).

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

207891072 is a wasteful number, since it uses less digits than its factorization.

207891072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 207891072 is about 14418.4282083728. The cubic root of 207891072 is about 592.3957665277.

The spelling of 207891072 in words is "two hundred seven million, eight hundred ninety-one thousand, seventy-two".