37965972 has 48 divisors (see below), whose sum is σ = 98025984. Its totient is φ = 11340000.

The previous prime is 37965953. The next prime is 37965997. The reversal of 37965972 is 27956973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7347 + ... + 11397.

It is an arithmetic number, because the mean of its divisors is an integer number (2042208).

Almost surely, 2^37965972 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 37965972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49012992).

37965972 is an abundant number, since it is smaller than the sum of its proper divisors (60060012).

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

37965972 is a wasteful number, since it uses less digits than its factorization.

37965972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4138 counting only the distinct ones).

The product of its digits is 714420, while the sum is 48.

The square root of 37965972 is about 6161.6533495483. The cubic root of 37965972 is about 336.0971586940.

The spelling of 37965972 in words is "thirty-seven million, nine hundred sixty-five thousand, nine hundred seventy-two".