72175967 has 8 divisors (see below), whose sum is σ = 74711040. Its totient is φ = 69653880.

The previous prime is 72175919. The next prime is 72175969. The reversal of 72175967 is 76957127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72175967 - 2¹² = 72171871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72175969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8834 + ... + 14912.

It is an arithmetic number, because the mean of its divisors is an integer number (9338880).

Almost surely, 2^72175967 is an apocalyptic number.

72175967 is a deficient number, since it is larger than the sum of its proper divisors (2535073).

72175967 is a wasteful number, since it uses less digits than its factorization.

72175967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493.

The product of its digits is 185220, while the sum is 44.

The square root of 72175967 is about 8495.6440014869. The cubic root of 72175967 is about 416.3554019499.

The spelling of 72175967 in words is "seventy-two million, one hundred seventy-five thousand, nine hundred sixty-seven".