72765000 has 480 divisors, whose sum is σ = 320522400. Its totient is φ = 15120000.

The previous prime is 72764983. The next prime is 72765019. The reversal of 72765000 is 56727.

72765000 is a `hidden beast` number, since 7 + 2 + 7 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6614995 + ... + 6615005.

It is an arithmetic number, because the mean of its divisors is an integer number (667755).

Almost surely, 2^72765000 is an apocalyptic number.

72765000 is a gapful number since it is divisible by the number (70) 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 72765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160261200).

72765000 is an abundant number, since it is smaller than the sum of its proper divisors (247757400).

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

72765000 is a wasteful number, since it uses less digits than its factorization.

72765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72765000 is about 8530.2403248678. The cubic root of 72765000 is about 417.4849696383.

The spelling of 72765000 in words is "seventy-two million, seven hundred sixty-five thousand".