40303872 has 288 divisors, whose sum is σ = 147168000. Its totient is φ = 10838016.

The previous prime is 40303871. The next prime is 40303877. The reversal of 40303872 is 27830304.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40303871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370808 + ... + 2370824.

It is an arithmetic number, because the mean of its divisors is an integer number (511000).

Almost surely, 2^40303872 is an apocalyptic number.

40303872 is a gapful number since it is divisible by the number (42) 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 40303872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584000).

40303872 is an abundant number, since it is smaller than the sum of its proper divisors (106864128).

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

40303872 is an equidigital number, since it uses as much as digits as its factorization.

40303872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40303872 is about 6348.5330589042. The cubic root of 40303872 is about 342.8590285611.

The spelling of 40303872 in words is "forty million, three hundred three thousand, eight hundred seventy-two".