40032720 has 360 divisors, whose sum is σ = 169917696. Its totient is φ = 8266752.

The previous prime is 40032709. The next prime is 40032721. The reversal of 40032720 is 2723004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40032693 and 40032702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40032721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851737 + ... + 851783.

Almost surely, 2^40032720 is an apocalyptic number.

40032720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84958848).

40032720 is an abundant number, since it is smaller than the sum of its proper divisors (129884976).

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

40032720 is a wasteful number, since it uses less digits than its factorization.

40032720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 40032720 is about 6327.1415346901. The cubic root of 40032720 is about 342.0884146088.

Adding to 40032720 its reverse (2723004), we get a palindrome (42755724).

The spelling of 40032720 in words is "forty million, thirty-two thousand, seven hundred twenty".