72461540 has 48 divisors (see below), whose sum is σ = 157435824. Its totient is φ = 27993600.

The previous prime is 72461533. The next prime is 72461549. The reversal of 72461540 is 4516427.

It can be written as a sum of positive squares in 8 ways, for example, as 3936256 + 68525284 = 1984^2 + 8278^2 .

It is not an unprimeable number, because it can be changed into a prime (72461549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133670 + ... + 134210.

It is an arithmetic number, because the mean of its divisors is an integer number (3279913).

Almost surely, 2^72461540 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 72461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78717912).

72461540 is an abundant number, since it is smaller than the sum of its proper divisors (84974284).

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

72461540 is a wasteful number, since it uses less digits than its factorization.

72461540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

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

The square root of 72461540 is about 8512.4344344024. The cubic root of 72461540 is about 416.9037995953.

Adding to 72461540 its reverse (4516427), we get a palindrome (76977967).

The spelling of 72461540 in words is "seventy-two million, four hundred sixty-one thousand, five hundred forty".