37072050 has 48 divisors (see below), whose sum is σ = 92886912. Its totient is φ = 9784000.

The previous prime is 37072043. The next prime is 37072073. The reversal of 37072050 is 5027073.

37072050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 37072050.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13927 + ... + 16373.

It is an arithmetic number, because the mean of its divisors is an integer number (1935144).

Almost surely, 2^37072050 is an apocalyptic number.

37072050 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 37072050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46443456).

37072050 is an abundant number, since it is smaller than the sum of its proper divisors (55814862).

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

37072050 is a wasteful number, since it uses less digits than its factorization.

37072050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 37072050 is about 6088.6821234155. The cubic root of 37072050 is about 333.4383391401.

The spelling of 37072050 in words is "thirty-seven million, seventy-two thousand, fifty".