40772106 has 32 divisors (see below), whose sum is σ = 91854720. Its totient is φ = 13403232.

The previous prime is 40772089. The next prime is 40772117. The reversal of 40772106 is 60127704.

It is a super-3 number, since 3×40772106³ (a number of 24 digits) contains 333 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40772106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230 + ... + 9113.

It is an arithmetic number, because the mean of its divisors is an integer number (2870460).

Almost surely, 2^40772106 is an apocalyptic number.

40772106 is an abundant number, since it is smaller than the sum of its proper divisors (51082614).

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

40772106 is a wasteful number, since it uses less digits than its factorization.

40772106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427 (or 10421 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40772106 is about 6385.3039081942. The cubic root of 40772106 is about 344.1816520772.

The spelling of 40772106 in words is "forty million, seven hundred seventy-two thousand, one hundred six".