40772000 has 48 divisors (see below), whose sum is σ = 100186632. Its totient is φ = 16307200.

The previous prime is 40771993. The next prime is 40772027. The reversal of 40772000 is 27704.

It can be written as a sum of positive squares in 4 ways, for example, as 16289296 + 24482704 = 4036^2 + 4948^2 .

It is a super-3 number, since 3×40772000³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1097 + ... + 9096.

Almost surely, 2^40772000 is an apocalyptic number.

40772000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40772000 is an abundant number, since it is smaller than the sum of its proper divisors (59414632).

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

40772000 is a wasteful number, since it uses less digits than its factorization.

40772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 40772000 is about 6385.2956078791. The cubic root of 40772000 is about 344.1813538072.

Adding to 40772000 its reverse (27704), we get a palindrome (40799704).

The spelling of 40772000 in words is "forty million, seven hundred seventy-two thousand".