72101001 has 32 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 40172160.

The previous prime is 72100979. The next prime is 72101011. The reversal of 72101001 is 10010127.

It is not a de Polignac number, because 72101001 - 2⁵ = 72100969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72101011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41335 + ... + 43043.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^72101001 is an apocalyptic number.

It is an amenable number.

72101001 is a deficient number, since it is larger than the sum of its proper divisors (42810999).

72101001 is a wasteful number, since it uses less digits than its factorization.

72101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 72101001 is about 8491.2308295088. The cubic root of 72101001 is about 416.2112020038.

Adding to 72101001 its reverse (10010127), we get a palindrome (82111128).

The spelling of 72101001 in words is "seventy-two million, one hundred one thousand, one".