37725750 has 144 divisors (see below), whose sum is σ = 110534112. Its totient is φ = 9622800.

The previous prime is 37725713. The next prime is 37725763. The reversal of 37725750 is 5752773.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1640239 + ... + 1640261.

It is an arithmetic number, because the mean of its divisors is an integer number (767598).

Almost surely, 2^37725750 is an apocalyptic number.

37725750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37725750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55267056).

37725750 is an abundant number, since it is smaller than the sum of its proper divisors (72808362).

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

37725750 is an frugal number, since it uses more digits than its factorization.

37725750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 37725750 is about 6142.1291096818. The cubic root of 37725750 is about 335.3867961174.

The spelling of 37725750 in words is "thirty-seven million, seven hundred twenty-five thousand, seven hundred fifty".