72070167 has 16 divisors (see below), whose sum is σ = 103638528. Its totient is φ = 44285280.

The previous prime is 72070151. The next prime is 72070177. The reversal of 72070167 is 76107027.

It is a happy number.

It is not a de Polignac number, because 72070167 - 2⁴ = 72070151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72070147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46942 + ... + 48452.

It is an arithmetic number, because the mean of its divisors is an integer number (6477408).

Almost surely, 2^72070167 is an apocalyptic number.

72070167 is a deficient number, since it is larger than the sum of its proper divisors (31568361).

72070167 is a wasteful number, since it uses less digits than its factorization.

72070167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750.

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

The square root of 72070167 is about 8489.4149975131. The cubic root of 72070167 is about 416.1518626240.

The spelling of 72070167 in words is "seventy-two million, seventy thousand, one hundred sixty-seven".