72100071 has 8 divisors (see below), whose sum is σ = 106814960. Its totient is φ = 48066696.

The previous prime is 72100069. The next prime is 72100081. The reversal of 72100071 is 17000127.

It is not a de Polignac number, because 72100071 - 2¹ = 72100069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72100031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1335160 + ... + 1335213.

It is an arithmetic number, because the mean of its divisors is an integer number (13351870).

Almost surely, 2^72100071 is an apocalyptic number.

72100071 is a deficient number, since it is larger than the sum of its proper divisors (34714889).

72100071 is a wasteful number, since it uses less digits than its factorization.

72100071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670382 (or 2670376 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 72100071 is about 8491.1760669533. The cubic root of 72100071 is about 416.2094124860.

Adding to 72100071 its reverse (17000127), we get a palindrome (89100198).

The spelling of 72100071 in words is "seventy-two million, one hundred thousand, seventy-one".