40727232 has 336 divisors, whose sum is σ = 154045920. Its totient is φ = 10450944.

The previous prime is 40727231. The next prime is 40727237. The reversal of 40727232 is 23272704.

40727232 is a `hidden beast` number, since 407 + 27 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 40727196 and 40727205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40727231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100718 + ... + 1100754.

It is an arithmetic number, because the mean of its divisors is an integer number (458470).

Almost surely, 2^40727232 is an apocalyptic number.

40727232 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 40727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77022960).

40727232 is an abundant number, since it is smaller than the sum of its proper divisors (113318688).

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

40727232 is a wasteful number, since it uses less digits than its factorization.

40727232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40727232 is about 6381.7890908428. The cubic root of 40727232 is about 344.0553363297.

Adding to 40727232 its reverse (23272704), we get a palindrome (63999936).

The spelling of 40727232 in words is "forty million, seven hundred twenty-seven thousand, two hundred thirty-two".