36873000 has 192 divisors, whose sum is σ = 132509520. Its totient is φ = 9216000.

The previous prime is 36872993. The next prime is 36873019. The reversal of 36873000 is 37863.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7257636 + 29615364 = 2694^2 + 5442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152880 + ... + 153120.

Almost surely, 2^36873000 is an apocalyptic number.

36873000 is a gapful number since it is divisible by the number (30) 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 36873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66254760).

36873000 is an abundant number, since it is smaller than the sum of its proper divisors (95636520).

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

36873000 is a wasteful number, since it uses less digits than its factorization.

36873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36873000 is about 6072.3142211187. The cubic root of 36873000 is about 332.8404939092.

The spelling of 36873000 in words is "thirty-six million, eight hundred seventy-three thousand".