72541460 has 48 divisors (see below), whose sum is σ = 157659264. Its totient is φ = 28015488.

The previous prime is 72541453. The next prime is 72541463. The reversal of 72541460 is 6414527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72541463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123287 + ... + 123873.

It is an arithmetic number, because the mean of its divisors is an integer number (3284568).

Almost surely, 2^72541460 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 72541460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78829632).

72541460 is an abundant number, since it is smaller than the sum of its proper divisors (85117804).

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

72541460 is a wasteful number, since it uses less digits than its factorization.

72541460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 72541460 is about 8517.1274500268. The cubic root of 72541460 is about 417.0570151709.

Adding to 72541460 its reverse (6414527), we get a palindrome (78955987).

The spelling of 72541460 in words is "seventy-two million, five hundred forty-one thousand, four hundred sixty".