72070164 has 36 divisors (see below), whose sum is σ = 188056960. Its totient is φ = 23248080.

The previous prime is 72070151. The next prime is 72070177. The reversal of 72070164 is 46107027.

It is an interprime number because it is at equal distance from previous prime (72070151) and next prime (72070177).

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 31174 + ... + 33405.

Almost surely, 2^72070164 is an apocalyptic number.

It is an amenable number.

72070164 is an abundant number, since it is smaller than the sum of its proper divisors (115986796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72070164 is a wasteful number, since it uses less digits than its factorization.

72070164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64620 (or 64615 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72070164 is about 8489.4148208225. The cubic root of 72070164 is about 416.1518568498.

The spelling of 72070164 in words is "seventy-two million, seventy thousand, one hundred sixty-four".