40772970 has 224 divisors, whose sum is σ = 135986688. Its totient is φ = 8584704.

The previous prime is 40772933. The next prime is 40772971. The reversal of 40772970 is 7927704.

40772970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40772971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 867487 + ... + 867533.

Almost surely, 2^40772970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40772970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67993344).

40772970 is an abundant number, since it is smaller than the sum of its proper divisors (95213718).

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

40772970 is a wasteful number, since it uses less digits than its factorization.

40772970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 40772970 is about 6385.3715631904. The cubic root of 40772970 is about 344.1840832397.

The spelling of 40772970 in words is "forty million, seven hundred seventy-two thousand, nine hundred seventy".