40039272 has 240 divisors, whose sum is σ = 141940260. Its totient is φ = 10450944.

The previous prime is 40039249. The next prime is 40039313. The reversal of 40039272 is 27293004.

40039272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 1920996 = 6174^2 + 1386^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412728 + ... + 412824.

Almost surely, 2^40039272 is an apocalyptic number.

40039272 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 40039272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70970130).

40039272 is an abundant number, since it is smaller than the sum of its proper divisors (101900988).

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

40039272 is a wasteful number, since it uses less digits than its factorization.

40039272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40039272 is about 6327.6592828628. The cubic root of 40039272 is about 342.1070763521.

The spelling of 40039272 in words is "forty million, thirty-nine thousand, two hundred seventy-two".