73164672 has 192 divisors, whose sum is σ = 247378560. Its totient is φ = 20321280.

The previous prime is 73164671. The next prime is 73164683. The reversal of 73164672 is 27646137.

73164672 is a `hidden beast` number, since 7 + 3 + 1 + 646 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73164671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 346647 + ... + 346857.

It is an arithmetic number, because the mean of its divisors is an integer number (1288430).

Almost surely, 2^73164672 is an apocalyptic number.

73164672 is a gapful number since it is divisible by the number (72) 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 73164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123689280).

73164672 is an abundant number, since it is smaller than the sum of its proper divisors (174213888).

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

73164672 is a wasteful number, since it uses less digits than its factorization.

73164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 73164672 is about 8553.6350167633. The cubic root of 73164672 is about 418.2479394100.

The spelling of 73164672 in words is "seventy-three million, one hundred sixty-four thousand, six hundred seventy-two".