72466560 has 192 divisors, whose sum is σ = 261593280. Its totient is φ = 18450432.

The previous prime is 72466543. The next prime is 72466607. The reversal of 72466560 is 6566427.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132207 + ... + 132753.

It is an arithmetic number, because the mean of its divisors is an integer number (1362465).

Almost surely, 2^72466560 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 72466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130796640).

72466560 is an abundant number, since it is smaller than the sum of its proper divisors (189126720).

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

72466560 is a wasteful number, since it uses less digits than its factorization.

72466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 72466560 is about 8512.7292920661. The cubic root of 72466560 is about 416.9134268116.

The spelling of 72466560 in words is "seventy-two million, four hundred sixty-six thousand, five hundred sixty".