164502972 has 36 divisors (see below), whose sum is σ = 420507360. Its totient is φ = 54217152.

The previous prime is 164502959. The next prime is 164502997. The reversal of 164502972 is 279205461.

164502972 is a `hidden beast` number, since 1 + 64 + 502 + 97 + 2 = 666.

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

It is a super-2 number, since 2×164502972² = 54122455593665568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22468 + ... + 28875.

It is an arithmetic number, because the mean of its divisors is an integer number (11680760).

Almost surely, 2^164502972 is an apocalyptic number.

164502972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164502972 is an abundant number, since it is smaller than the sum of its proper divisors (256004388).

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

164502972 is a wasteful number, since it uses less digits than its factorization.

164502972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51442 (or 51437 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164502972 is about 12825.8711984800. The cubic root of 164502972 is about 547.9293735680.

The spelling of 164502972 in words is "one hundred sixty-four million, five hundred two thousand, nine hundred seventy-two".