72671164 has 12 divisors (see below), whose sum is σ = 127422288. Its totient is φ = 36264800.

The previous prime is 72671153. The next prime is 72671167. The reversal of 72671164 is 46117627.

It is a happy number.

It is a super-3 number, since 3×72671164³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72671167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15352 + ... + 19519.

It is an arithmetic number, because the mean of its divisors is an integer number (10618524).

Almost surely, 2^72671164 is an apocalyptic number.

It is an amenable number.

72671164 is a deficient number, since it is larger than the sum of its proper divisors (54751124).

72671164 is a wasteful number, since it uses less digits than its factorization.

72671164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35396 (or 35394 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 72671164 is about 8524.7383537561. The cubic root of 72671164 is about 417.3054329038.

The spelling of 72671164 in words is "seventy-two million, six hundred seventy-one thousand, one hundred sixty-four".