72406560 has 48 divisors (see below), whose sum is σ = 228082176. Its totient is φ = 19308288.

The previous prime is 72406541. The next prime is 72406567. The reversal of 72406560 is 6560427.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72406567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74944 + ... + 75903.

It is an arithmetic number, because the mean of its divisors is an integer number (4751712).

Almost surely, 2^72406560 is an apocalyptic number.

It is an amenable number.

72406560 is an abundant number, since it is smaller than the sum of its proper divisors (155675616).

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

72406560 is a wasteful number, since it uses less digits than its factorization.

72406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150865 (or 150857 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72406560 is about 8509.2044281472. The cubic root of 72406560 is about 416.7983313680.

Adding to 72406560 its reverse (6560427), we get a palindrome (78966987).

The spelling of 72406560 in words is "seventy-two million, four hundred six thousand, five hundred sixty".