40732560 has 240 divisors, whose sum is σ = 154365120. Its totient is φ = 9538560.

The previous prime is 40732553. The next prime is 40732589. The reversal of 40732560 is 6523704.

It is a happy number.

40732560 is a `hidden beast` number, since 407 + 3 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292971 + ... + 293109.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 2^40732560 is an apocalyptic number.

40732560 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 40732560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

40732560 is an abundant number, since it is smaller than the sum of its proper divisors (113632560).

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

40732560 is a wasteful number, since it uses less digits than its factorization.

40732560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40732560 is about 6382.2065149915. The cubic root of 40732560 is about 344.0703389607.

Subtracting from 40732560 its reverse (6523704), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 40732560 in words is "forty million, seven hundred thirty-two thousand, five hundred sixty".