164772120 has 64 divisors (see below), whose sum is σ = 497236320. Its totient is φ = 43679744.

The previous prime is 164772079. The next prime is 164772121. The reversal of 164772120 is 21277461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164772121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16792 + ... + 24728.

Almost surely, 2^164772120 is an apocalyptic number.

164772120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164772120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248618160).

164772120 is an abundant number, since it is smaller than the sum of its proper divisors (332464200).

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

164772120 is a wasteful number, since it uses less digits than its factorization.

164772120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8124 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 164772120 is about 12836.3592969346. The cubic root of 164772120 is about 548.2280383630.

The spelling of 164772120 in words is "one hundred sixty-four million, seven hundred seventy-two thousand, one hundred twenty".