72171001 has 16 divisors (see below), whose sum is σ = 88988544. Its totient is φ = 57118464.

The previous prime is 72170977. The next prime is 72171013. The reversal of 72171001 is 10017127.

It is a cyclic number.

It is not a de Polignac number, because 72171001 - 2⁹ = 72170489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72171001.

It is not an unprimeable number, because it can be changed into a prime (72171041) 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, 586 + ... + 12028.

It is an arithmetic number, because the mean of its divisors is an integer number (5561784).

Almost surely, 2^72171001 is an apocalyptic number.

It is an amenable number.

72171001 is a deficient number, since it is larger than the sum of its proper divisors (16817543).

72171001 is a wasteful number, since it uses less digits than its factorization.

72171001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520.

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 72171001 is about 8495.3517290339. The cubic root of 72171001 is about 416.3458527494.

Adding to 72171001 its reverse (10017127), we get a palindrome (82188128).

The spelling of 72171001 in words is "seventy-two million, one hundred seventy-one thousand, one".