36729000 has 384 divisors, whose sum is σ = 157697280. Its totient is φ = 7488000.

The previous prime is 36728983. The next prime is 36729013. The reversal of 36729000 is 92763.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692974 + ... + 693026.

It is an arithmetic number, because the mean of its divisors is an integer number (410670).

Almost surely, 2^36729000 is an apocalyptic number.

36729000 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 36729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848640).

36729000 is an abundant number, since it is smaller than the sum of its proper divisors (120968280).

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

36729000 is a wasteful number, since it uses less digits than its factorization.

36729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 36729000 is about 6060.4455281770. The cubic root of 36729000 is about 332.4066483745.

The spelling of 36729000 in words is "thirty-six million, seven hundred twenty-nine thousand".