40735072 has 72 divisors (see below), whose sum is σ = 94716216. Its totient is φ = 17192448.

The previous prime is 40735067. The next prime is 40735073. The reversal of 40735072 is 27053704.

It is a super-3 number, since 3×40735072³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 40735072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40735073) 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, 129988 + ... + 130300.

It is an arithmetic number, because the mean of its divisors is an integer number (1315503).

Almost surely, 2^40735072 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 40735072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47358108).

40735072 is an abundant number, since it is smaller than the sum of its proper divisors (53981144).

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

40735072 is a wasteful number, since it uses less digits than its factorization.

40735072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 40735072 is about 6382.4033090992. The cubic root of 40735072 is about 344.0774118194.

Adding to 40735072 its reverse (27053704), we get a palindrome (67788776).

The spelling of 40735072 in words is "forty million, seven hundred thirty-five thousand, seventy-two".