36972144 has 120 divisors (see below), whose sum is σ = 119603952. Its totient is φ = 10536960.

The previous prime is 36972137. The next prime is 36972151. The reversal of 36972144 is 44127963.

It is an interprime number because it is at equal distance from previous prime (36972137) and next prime (36972151).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36972099 and 36972108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26242 + ... + 27614.

Almost surely, 2^36972144 is an apocalyptic number.

36972144 is a gapful number since it is divisible by the number (34) 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 36972144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59801976).

36972144 is an abundant number, since it is smaller than the sum of its proper divisors (82631808).

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

36972144 is a wasteful number, since it uses less digits than its factorization.

36972144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1406 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36972144 is about 6080.4723500728. The cubic root of 36972144 is about 333.1385404115.

The spelling of 36972144 in words is "thirty-six million, nine hundred seventy-two thousand, one hundred forty-four".