72167516 has 12 divisors (see below), whose sum is σ = 133722288. Its totient is φ = 33961152.

The previous prime is 72167497. The next prime is 72167521. The reversal of 72167516 is 61576127.

It is a super-2 number, since 2×72167516² = 10416300731220512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 530576 + ... + 530711.

It is an arithmetic number, because the mean of its divisors is an integer number (11143524).

Almost surely, 2^72167516 is an apocalyptic number.

It is an amenable number.

72167516 is a deficient number, since it is larger than the sum of its proper divisors (61554772).

72167516 is a wasteful number, since it uses less digits than its factorization.

72167516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061308 (or 1061306 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 72167516 is about 8495.1466143911. The cubic root of 72167516 is about 416.3391511258.

The spelling of 72167516 in words is "seventy-two million, one hundred sixty-seven thousand, five hundred sixteen".