42772002 has 144 divisors (see below), whose sum is σ = 116750592. Its totient is φ = 10342080.

The previous prime is 42771997. The next prime is 42772003. The reversal of 42772002 is 20027724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42772003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1379727 + ... + 1379757.

It is an arithmetic number, because the mean of its divisors is an integer number (810768).

Almost surely, 2^42772002 is an apocalyptic number.

42772002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42772002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58375296).

42772002 is an abundant number, since it is smaller than the sum of its proper divisors (73978590).

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

42772002 is a wasteful number, since it uses less digits than its factorization.

42772002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 42772002 is about 6540.0307338727. The cubic root of 42772002 is about 349.7195086065.

Adding to 42772002 its reverse (20027724), we get a palindrome (62799726).

The spelling of 42772002 in words is "forty-two million, seven hundred seventy-two thousand, two".