72165632 has 108 divisors (see below), whose sum is σ = 183150576. Its totient is φ = 28062720.

The previous prime is 72165581. The next prime is 72165637. The reversal of 72165632 is 23656127.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72165637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137723 + ... + 138245.

Almost surely, 2^72165632 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 72165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91575288).

72165632 is an abundant number, since it is smaller than the sum of its proper divisors (110984944).

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

72165632 is a wasteful number, since it uses less digits than its factorization.

72165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 543 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 72165632 is about 8495.0357268230. The cubic root of 72165632 is about 416.3355281209.

The spelling of 72165632 in words is "seventy-two million, one hundred sixty-five thousand, six hundred thirty-two".