42772400 has 60 divisors (see below), whose sum is σ = 112114104. Its totient is φ = 15552000.

The previous prime is 42772399. The next prime is 42772423. The reversal of 42772400 is 427724.

It is a self number, because there is not a number n which added to its sum of digits gives 42772400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461 + ... + 9260.

Almost surely, 2^42772400 is an apocalyptic number.

42772400 is a gapful number since it is divisible by the number (40) 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 42772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56057052).

42772400 is an abundant number, since it is smaller than the sum of its proper divisors (69341704).

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

42772400 is a wasteful number, since it uses less digits than its factorization.

42772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750 (or 9739 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 42772400 is about 6540.0611617935. The cubic root of 42772400 is about 349.7205933342.

Multiplying 42772400 by its reverse (427724), we get a square (18294782017600 = 4277240²).

42772400 divided by its reverse (427724) gives a square (100 = 10²).

It can be divided in two parts, 427 and 72400, that added together give a palindrome (72827).

The spelling of 42772400 in words is "forty-two million, seven hundred seventy-two thousand, four hundred".