72106010 has 32 divisors (see below), whose sum is σ = 137858112. Its totient is φ = 27060480.

The previous prime is 72105991. The next prime is 72106043. The reversal of 72106010 is 1060127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72106010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88505 + ... + 89315.

It is an arithmetic number, because the mean of its divisors is an integer number (4308066).

Almost surely, 2^72106010 is an apocalyptic number.

72106010 is a deficient number, since it is larger than the sum of its proper divisors (65752102).

72106010 is a wasteful number, since it uses less digits than its factorization.

72106010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 72106010 is about 8491.5257757367. The cubic root of 72106010 is about 416.2208401208.

Adding to 72106010 its reverse (1060127), we get a palindrome (73166137).

The spelling of 72106010 in words is "seventy-two million, one hundred six thousand, ten".