40753872 has 60 divisors (see below), whose sum is σ = 117152100. Its totient is φ = 13215744.

The previous prime is 40753849. The next prime is 40753891. The reversal of 40753872 is 27835704.

It can be written as a sum of positive squares in 2 ways, for example, as 17943696 + 22810176 = 4236^2 + 4776^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504 + ... + 9152.

It is an arithmetic number, because the mean of its divisors is an integer number (1952535).

Almost surely, 2^40753872 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 40753872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58576050).

40753872 is an abundant number, since it is smaller than the sum of its proper divisors (76398228).

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

40753872 is a wasteful number, since it uses less digits than its factorization.

40753872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 40753872 is about 6383.8759386442. The cubic root of 40753872 is about 344.1303364054.

The spelling of 40753872 in words is "forty million, seven hundred fifty-three thousand, eight hundred seventy-two".