72260460 has 144 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 18289152.

The previous prime is 72260459. The next prime is 72260483. The reversal of 72260460 is 6406227.

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, 568917 + ... + 569043.

It is an arithmetic number, because the mean of its divisors is an integer number (1601600).

Almost surely, 2^72260460 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 72260460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

72260460 is an abundant number, since it is smaller than the sum of its proper divisors (158369940).

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

72260460 is a wasteful number, since it uses less digits than its factorization.

72260460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72260460 is about 8500.6152718494. The cubic root of 72260460 is about 416.5178078026.

Adding to 72260460 its reverse (6406227), we get a palindrome (78666687).

The spelling of 72260460 in words is "seventy-two million, two hundred sixty thousand, four hundred sixty".