72165122 has 12 divisors (see below), whose sum is σ = 113160390. Its totient is φ = 34513248.

The previous prime is 72165101. The next prime is 72165127. The reversal of 72165122 is 22156127.

It can be written as a sum of positive squares in only one way, i.e., 62236321 + 9928801 = 7889^2 + 3151^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72165091 and 72165100.

It is not an unprimeable number, because it can be changed into a prime (72165127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33047 + ... + 35162.

Almost surely, 2^72165122 is an apocalyptic number.

72165122 is a deficient number, since it is larger than the sum of its proper divisors (40995268).

72165122 is a wasteful number, since it uses less digits than its factorization.

72165122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68257 (or 68234 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 72165122 is about 8495.0057092388. The cubic root of 72165122 is about 416.3345473604.

The spelling of 72165122 in words is "seventy-two million, one hundred sixty-five thousand, one hundred twenty-two".