37968720 has 80 divisors (see below), whose sum is σ = 118331712. Its totient is φ = 10071040.

The previous prime is 37968713. The next prime is 37968737. The reversal of 37968720 is 2786973.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67159 + ... + 67721.

Almost surely, 2^37968720 is an apocalyptic number.

37968720 is a gapful number since it is divisible by the number (30) 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 37968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59165856).

37968720 is an abundant number, since it is smaller than the sum of its proper divisors (80362992).

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

37968720 is a wasteful number, since it uses less digits than its factorization.

37968720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 37968720 is about 6161.8763376102. The cubic root of 37968720 is about 336.1052674702.

The spelling of 37968720 in words is "thirty-seven million, nine hundred sixty-eight thousand, seven hundred twenty".