36972432 has 120 divisors (see below), whose sum is σ = 121145024. Its totient is φ = 10305792.

The previous prime is 36972427. The next prime is 36972449. The reversal of 36972432 is 23427963.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

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, 42918 + ... + 43770.

Almost surely, 2^36972432 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 36972432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60572512).

36972432 is an abundant number, since it is smaller than the sum of its proper divisors (84172592).

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

36972432 is a wasteful number, since it uses less digits than its factorization.

36972432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 36972432 is about 6080.4960323974. The cubic root of 36972432 is about 333.1394054200.

The spelling of 36972432 in words is "thirty-six million, nine hundred seventy-two thousand, four hundred thirty-two".