72595656 has 192 divisors, whose sum is σ = 247608000. Its totient is φ = 19649952.

The previous prime is 72595597. The next prime is 72595681. The reversal of 72595656 is 65659527.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

72595656 is a `hidden beast` number, since 7 + 2 + 595 + 6 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3820815 + ... + 3820833.

It is an arithmetic number, because the mean of its divisors is an integer number (1289625).

Almost surely, 2^72595656 is an apocalyptic number.

72595656 is a gapful number since it is divisible by the number (76) 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 72595656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123804000).

72595656 is an abundant number, since it is smaller than the sum of its proper divisors (175012344).

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

72595656 is a wasteful number, since it uses less digits than its factorization.

72595656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 31 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 72595656 is about 8520.3084451210. The cubic root of 72595656 is about 417.1608509426.

Adding to 72595656 its product of digits (567000), we get a triangular number (73162656 = T₁₂₀₉₆).

The spelling of 72595656 in words is "seventy-two million, five hundred ninety-five thousand, six hundred fifty-six".