1971367872 has 112 divisors (see below), whose sum is σ = 5701174272. Its totient is φ = 598487040.

The previous prime is 1971367843. The next prime is 1971367873. The reversal of 1971367872 is 2787631791.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971367873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91443 + ... + 110925.

Almost surely, 2^1971367872 is an apocalyptic number.

1971367872 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 1971367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850587136).

1971367872 is an abundant number, since it is smaller than the sum of its proper divisors (3729806400).

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

1971367872 is a wasteful number, since it uses less digits than its factorization.

1971367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19546 (or 19536 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 1971367872 is about 44400.0886485602. The cubic root of 1971367872 is about 1253.8797582156.

The spelling of 1971367872 in words is "one billion, nine hundred seventy-one million, three hundred sixty-seven thousand, eight hundred seventy-two".