164720772 has 36 divisors (see below), whose sum is σ = 416972556. Its totient is φ = 54828480.

The previous prime is 164720749. The next prime is 164720797. The reversal of 164720772 is 277027461.

It is a happy number.

164720772 is a `hidden beast` number, since 1 + 647 + 2 + 0 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81108036 + 83612736 = 9006^2 + 9144^2 .

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

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

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, 25822 + ... + 31562.

It is an arithmetic number, because the mean of its divisors is an integer number (11582571).

Almost surely, 2^164720772 is an apocalyptic number.

164720772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164720772 is an abundant number, since it is smaller than the sum of its proper divisors (252251784).

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

164720772 is a wasteful number, since it uses less digits than its factorization.

164720772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 164720772 is about 12834.3590412611. The cubic root of 164720772 is about 548.1710842739.

The spelling of 164720772 in words is "one hundred sixty-four million, seven hundred twenty thousand, seven hundred seventy-two".