36927072 has 144 divisors (see below), whose sum is σ = 129336480. Its totient is φ = 9732096.

The previous prime is 36927047. The next prime is 36927103. The reversal of 36927072 is 27072963.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

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, 25504 + ... + 26912.

It is an arithmetic number, because the mean of its divisors is an integer number (898170).

Almost surely, 2^36927072 is an apocalyptic number.

36927072 is a gapful number since it is divisible by the number (32) 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 36927072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64668240).

36927072 is an abundant number, since it is smaller than the sum of its proper divisors (92409408).

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

36927072 is a wasteful number, since it uses less digits than its factorization.

36927072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 36927072 is about 6076.7649288087. The cubic root of 36927072 is about 333.0031111903.

The spelling of 36927072 in words is "thirty-six million, nine hundred twenty-seven thousand, seventy-two".