72016560 has 320 divisors, whose sum is σ = 309980160. Its totient is φ = 14929920.

The previous prime is 72016547. The next prime is 72016591. The reversal of 72016560 is 6561027.

72016560 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 656 + 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 63 ways as a sum of consecutive naturals, for example, 166104 + ... + 166536.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^72016560 is an apocalyptic number.

72016560 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 72016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

72016560 is an abundant number, since it is smaller than the sum of its proper divisors (237963600).

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

72016560 is a wasteful number, since it uses less digits than its factorization.

72016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72016560 is about 8486.2571254941. The cubic root of 72016560 is about 416.0486567841.

Adding to 72016560 its reverse (6561027), we get a palindrome (78577587).

The spelling of 72016560 in words is "seventy-two million, sixteen thousand, five hundred sixty".