72164620 has 48 divisors (see below), whose sum is σ = 165989376. Its totient is φ = 26136000.

The previous prime is 72164597. The next prime is 72164623. The reversal of 72164620 is 2646127.

It is not an unprimeable number, because it can be changed into a prime (72164623) 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, 72325 + ... + 73315.

It is an arithmetic number, because the mean of its divisors is an integer number (3458112).

Almost surely, 2^72164620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72164620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994688).

72164620 is an abundant number, since it is smaller than the sum of its proper divisors (93824756).

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

72164620 is a wasteful number, since it uses less digits than its factorization.

72164620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72164620 is about 8494.9761624151. The cubic root of 72164620 is about 416.3335819797. Note that the first 3 decimals are identical.

It can be divided in two parts, 721 and 64620, that added together give a triangular number (65341 = T₃₆₁).

The spelling of 72164620 in words is "seventy-two million, one hundred sixty-four thousand, six hundred twenty".