72164064 has 216 divisors, whose sum is σ = 238298760. Its totient is φ = 19041792.

The previous prime is 72164047. The next prime is 72164107. The reversal of 72164064 is 46046127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2488402 + ... + 2488430.

It is an arithmetic number, because the mean of its divisors is an integer number (1103235).

Almost surely, 2^72164064 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 72164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119149380).

72164064 is an abundant number, since it is smaller than the sum of its proper divisors (166134696).

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

72164064 is a wasteful number, since it uses less digits than its factorization.

72164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72164064 is about 8494.9434371278. The cubic root of 72164064 is about 416.3325127482.

The spelling of 72164064 in words is "seventy-two million, one hundred sixty-four thousand, sixty-four".