637842072 has 128 divisors (see below), whose sum is σ = 1911029760. Its totient is φ = 173458560.

The previous prime is 637842071. The next prime is 637842109. The reversal of 637842072 is 270248736.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 637842072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (637842071) 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 31 ways as a sum of consecutive naturals, for example, 1479697 + ... + 1480127.

It is an arithmetic number, because the mean of its divisors is an integer number (14929920).

Almost surely, 2^637842072 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 637842072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955514880).

637842072 is an abundant number, since it is smaller than the sum of its proper divisors (1273187688).

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

637842072 is a wasteful number, since it uses less digits than its factorization.

637842072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 637842072 is about 25255.5354724464. The cubic root of 637842072 is about 860.8042197651.

It can be divided in two parts, 63784 and 2072, that added together give a palindrome (65856).

The spelling of 637842072 in words is "six hundred thirty-seven million, eight hundred forty-two thousand, seventy-two".