40772208 has 40 divisors (see below), whose sum is σ = 106274448. Its totient is φ = 13468672.

The previous prime is 40772203. The next prime is 40772209. The reversal of 40772208 is 80227704.

It is a super-3 number, since 3×40772208³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40772201) 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 7 ways as a sum of consecutive naturals, for example, 1666 + ... + 9182.

Almost surely, 2^40772208 is an apocalyptic number.

40772208 is a gapful number since it is divisible by the number (48) 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 40772208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53137224).

40772208 is an abundant number, since it is smaller than the sum of its proper divisors (65502240).

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

40772208 is a wasteful number, since it uses less digits than its factorization.

40772208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 40772208 is about 6385.3118952797. The cubic root of 40772208 is about 344.1819390912.

The spelling of 40772208 in words is "forty million, seven hundred seventy-two thousand, two hundred eight".