9540405072 has 80 divisors (see below), whose sum is σ = 29874010560. Its totient is φ = 2891030400.

The previous prime is 9540405071. The next prime is 9540405089. The reversal of 9540405072 is 2705040459.

9540405072 is a `hidden beast` number, since 9 + 540 + 40 + 5 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9540405071) 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, 999079 + ... + 1008582.

It is an arithmetic number, because the mean of its divisors is an integer number (373425132).

Almost surely, 2^9540405072 is an apocalyptic number.

It is an amenable number.

9540405072 is an abundant number, since it is smaller than the sum of its proper divisors (20333605488).

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

9540405072 is a wasteful number, since it uses less digits than its factorization.

9540405072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007689 (or 2007677 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 9540405072 is about 97674.9971691835. The cubic root of 9540405072 is about 2120.9101550622.

The spelling of 9540405072 in words is "nine billion, five hundred forty million, four hundred five thousand, seventy-two".