72165000 has 160 divisors (see below), whose sum is σ = 239548320. Its totient is φ = 18048000.

The previous prime is 72164987. The next prime is 72165001. The reversal of 72165000 is 56127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254859 + ... + 255141.

It is an arithmetic number, because the mean of its divisors is an integer number (1497177).

Almost surely, 2^72165000 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 72165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119774160).

72165000 is an abundant number, since it is smaller than the sum of its proper divisors (167383320).

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

72165000 is a wasteful number, since it uses less digits than its factorization.

72165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 72165000 is about 8494.9985285461. The cubic root of 72165000 is about 416.3343127464.

The spelling of 72165000 in words is "seventy-two million, one hundred sixty-five thousand".