72117153 has 12 divisors (see below), whose sum is σ = 106135380. Its totient is φ = 47170656.

The previous prime is 72117151. The next prime is 72117193. The reversal of 72117153 is 35171127.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 35247969 = 6072^2 + 5937^2 .

It is not a de Polignac number, because 72117153 - 2¹ = 72117151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72117151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75118 + ... + 76071.

It is an arithmetic number, because the mean of its divisors is an integer number (8844615).

Almost surely, 2^72117153 is an apocalyptic number.

It is an amenable number.

72117153 is a deficient number, since it is larger than the sum of its proper divisors (34018227).

72117153 is a wasteful number, since it uses less digits than its factorization.

72117153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151248 (or 151245 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 72117153 is about 8492.1818751131. The cubic root of 72117153 is about 416.2422794337.

The spelling of 72117153 in words is "seventy-two million, one hundred seventeen thousand, one hundred fifty-three".