37625952 has 192 divisors, whose sum is σ = 125314560. Its totient is φ = 9621504.

The previous prime is 37625933. The next prime is 37625957. The reversal of 37625952 is 25952673.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 37625952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37625957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515388 + ... + 515460.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 2^37625952 is an apocalyptic number.

37625952 is a gapful number since it is divisible by the number (32) 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 37625952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62657280).

37625952 is an abundant number, since it is smaller than the sum of its proper divisors (87688608).

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

37625952 is a wasteful number, since it uses less digits than its factorization.

37625952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 37625952 is about 6133.9996739485. Note that the first 3 decimals coincide. The cubic root of 37625952 is about 335.0907959134.

The spelling of 37625952 in words is "thirty-seven million, six hundred twenty-five thousand, nine hundred fifty-two".