37772020 has 96 divisors (see below), whose sum is σ = 95510016. Its totient is φ = 12364800.

The previous prime is 37771967. The next prime is 37772023. The reversal of 37772020 is 2027773.

It is a self number, because there is not a number n which added to its sum of digits gives 37772020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37772023) 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, 134280 + ... + 134560.

It is an arithmetic number, because the mean of its divisors is an integer number (994896).

Almost surely, 2^37772020 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 37772020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47755008).

37772020 is an abundant number, since it is smaller than the sum of its proper divisors (57737996).

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

37772020 is a wasteful number, since it uses less digits than its factorization.

37772020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 28.

The square root of 37772020 is about 6145.8945646667. The cubic root of 37772020 is about 335.5238555269.

Adding to 37772020 its reverse (2027773), we get a palindrome (39799793).

The spelling of 37772020 in words is "thirty-seven million, seven hundred seventy-two thousand, twenty".