9540072 has 64 divisors (see below), whose sum is σ = 27432000. Its totient is φ = 3068352.

The previous prime is 9540067. The next prime is 9540073. The reversal of 9540072 is 2700459.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9540073) 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, 5503 + ... + 7025.

It is an arithmetic number, because the mean of its divisors is an integer number (428625).

Almost surely, 2^9540072 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 9540072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716000).

9540072 is an abundant number, since it is smaller than the sum of its proper divisors (17891928).

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

9540072 is a wasteful number, since it uses less digits than its factorization.

9540072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9540072 is about 3088.7006977045. The cubic root of 9540072 is about 212.0885473231.

The spelling of 9540072 in words is "nine million, five hundred forty thousand, seventy-two".