36972960 has 192 divisors, whose sum is σ = 129330432. Its totient is φ = 8830976.

The previous prime is 36972913. The next prime is 36972961. The reversal of 36972960 is 6927963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36972961) 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, 187582 + ... + 187778.

It is an arithmetic number, because the mean of its divisors is an integer number (673596).

Almost surely, 2^36972960 is an apocalyptic number.

36972960 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 36972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64665216).

36972960 is an abundant number, since it is smaller than the sum of its proper divisors (92357472).

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

36972960 is a wasteful number, since it uses less digits than its factorization.

36972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 36972960 is about 6080.5394497528. The cubic root of 36972960 is about 333.1409912571.

The spelling of 36972960 in words is "thirty-six million, nine hundred seventy-two thousand, nine hundred sixty".