40573152 has 72 divisors (see below), whose sum is σ = 122181696. Its totient is φ = 12727296.

The previous prime is 40573121. The next prime is 40573157. The reversal of 40573152 is 25137504.

It is a happy number.

40573152 is a `hidden beast` number, since 40 + 573 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40573157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (1696968).

Almost surely, 2^40573152 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 40573152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61090848).

40573152 is an abundant number, since it is smaller than the sum of its proper divisors (81608544).

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

40573152 is a wasteful number, since it uses less digits than its factorization.

40573152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40573152 is about 6369.7058016835. The cubic root of 40573152 is about 343.6209092357.

The spelling of 40573152 in words is "forty million, five hundred seventy-three thousand, one hundred fifty-two".