36981672 has 192 divisors, whose sum is σ = 120657600. Its totient is φ = 9354240.

The previous prime is 36981671. The next prime is 36981673. The reversal of 36981672 is 27618963.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36981671) and next prime (36981673).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36981671) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 626779 + ... + 626837.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 2^36981672 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 36981672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

36981672 is an abundant number, since it is smaller than the sum of its proper divisors (83675928).

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

36981672 is a wasteful number, since it uses less digits than its factorization.

36981672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 36981672 is about 6081.2557913641. The cubic root of 36981672 is about 333.1671553907.

The spelling of 36981672 in words is "thirty-six million, nine hundred eighty-one thousand, six hundred seventy-two".