42772500 has 90 divisors (see below), whose sum is σ = 135177042. Its totient is φ = 11400000.

The previous prime is 42772489. The next prime is 42772507. The reversal of 42772500 is 527724.

It can be written as a sum of positive squares in 5 ways, for example, as 27185796 + 15586704 = 5214^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42772507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21550 + ... + 23450.

Almost surely, 2^42772500 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 42772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67588521).

42772500 is an abundant number, since it is smaller than the sum of its proper divisors (92404542).

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

42772500 is a wasteful number, since it uses less digits than its factorization.

42772500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42772500 is about 6540.0688069775. The cubic root of 42772500 is about 349.7208658778.

It can be divided in two parts, 427 and 72500, that added together give a palindrome (72927).

The spelling of 42772500 in words is "forty-two million, seven hundred seventy-two thousand, five hundred".