72095580 has 72 divisors (see below), whose sum is σ = 219596832. Its totient is φ = 19145856.

The previous prime is 72095579. The next prime is 72095599. The reversal of 72095580 is 8559027.

72095580 is a `hidden beast` number, since 72 + 0 + 9 + 5 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52057 + ... + 53423.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2^72095580 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 72095580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

72095580 is an abundant number, since it is smaller than the sum of its proper divisors (147501252).

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

72095580 is a wasteful number, since it uses less digits than its factorization.

72095580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 72095580 is about 8490.9116118353. The cubic root of 72095580 is about 416.2007706301.

The spelling of 72095580 in words is "seventy-two million, ninety-five thousand, five hundred eighty".