72904040 has 64 divisors (see below), whose sum is σ = 181690560. Its totient is φ = 26104320.

The previous prime is 72904021. The next prime is 72904063. The reversal of 72904040 is 4040927.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28244 + ... + 30716.

It is an arithmetic number, because the mean of its divisors is an integer number (2838915).

Almost surely, 2^72904040 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 72904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90845280).

72904040 is an abundant number, since it is smaller than the sum of its proper divisors (108786520).

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

72904040 is a wasteful number, since it uses less digits than its factorization.

72904040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 72904040 is about 8538.3862643945. The cubic root of 72904040 is about 417.7507117628.

Adding to 72904040 its reverse (4040927), we get a palindrome (76944967).

The spelling of 72904040 in words is "seventy-two million, nine hundred four thousand, forty".