72164736 has 256 divisors, whose sum is σ = 257856000. Its totient is φ = 19408896.

The previous prime is 72164713. The next prime is 72164737. The reversal of 72164736 is 63746127.

72164736 is a `hidden beast` number, since 7 + 2 + 1 + 647 + 3 + 6 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 72164736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459570 + ... + 459726.

It is an arithmetic number, because the mean of its divisors is an integer number (1007250).

Almost surely, 2^72164736 is an apocalyptic number.

72164736 is a gapful number since it is divisible by the number (76) 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 72164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128928000).

72164736 is an abundant number, since it is smaller than the sum of its proper divisors (185691264).

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

72164736 is a wasteful number, since it uses less digits than its factorization.

72164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

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

The square root of 72164736 is about 8494.9829899771. The cubic root of 72164736 is about 416.3338050561. Note that the first 3 decimals are identical.

It can be divided in two parts, 72164 and 736, that added together give a square (72900 = 270²).

The spelling of 72164736 in words is "seventy-two million, one hundred sixty-four thousand, seven hundred thirty-six".