872072541 has 32 divisors (see below), whose sum is σ = 1307577600. Its totient is φ = 574398720.

The previous prime is 872072519. The next prime is 872072549. The reversal of 872072541 is 145270278.

It is not a de Polignac number, because 872072541 - 2¹⁸ = 871810397 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 872072496 and 872072505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872072549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039000 + ... + 1039838.

It is an arithmetic number, because the mean of its divisors is an integer number (40861800).

Almost surely, 2^872072541 is an apocalyptic number.

It is an amenable number.

872072541 is a deficient number, since it is larger than the sum of its proper divisors (435505059).

872072541 is a wasteful number, since it uses less digits than its factorization.

872072541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 872072541 is about 29530.8743690396. The cubic root of 872072541 is about 955.3977276685.

The spelling of 872072541 in words is "eight hundred seventy-two million, seventy-two thousand, five hundred forty-one".