36945972 has 72 divisors (see below), whose sum is σ = 107324672. Its totient is φ = 10497600.

The previous prime is 36945967. The next prime is 36945973. The reversal of 36945972 is 27954963.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36945973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68022 + ... + 68562.

Almost surely, 2^36945972 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 36945972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53662336).

36945972 is an abundant number, since it is smaller than the sum of its proper divisors (70378700).

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

36945972 is a wasteful number, since it uses less digits than its factorization.

36945972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 824 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 36945972 is about 6078.3198336382. The cubic root of 36945972 is about 333.0599140092.

The spelling of 36945972 in words is "thirty-six million, nine hundred forty-five thousand, nine hundred seventy-two".