72167007 has 8 divisors (see below), whose sum is σ = 104970240. Its totient is φ = 43737560.

The previous prime is 72167003. The next prime is 72167009. The reversal of 72167007 is 70076127.

It is a happy number.

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 72167007 - 2² = 72167003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72167003) 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, 1093407 + ... + 1093472.

It is an arithmetic number, because the mean of its divisors is an integer number (13121280).

Almost surely, 2^72167007 is an apocalyptic number.

72167007 is a deficient number, since it is larger than the sum of its proper divisors (32803233).

72167007 is a wasteful number, since it uses less digits than its factorization.

72167007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186893.

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 72167007 is about 8495.1166560560. The cubic root of 72167007 is about 416.3381723053.

The spelling of 72167007 in words is "seventy-two million, one hundred sixty-seven thousand, seven".