36729792 has 252 divisors, whose sum is σ = 126479808. Its totient is φ = 10137600.

The previous prime is 36729779. The next prime is 36729799. The reversal of 36729792 is 29792763.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36729799) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1184817 + ... + 1184847.

It is an arithmetic number, because the mean of its divisors is an integer number (501904).

Almost surely, 2^36729792 is an apocalyptic number.

36729792 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 36729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63239904).

36729792 is an abundant number, since it is smaller than the sum of its proper divisors (89750016).

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

36729792 is a wasteful number, since it uses less digits than its factorization.

36729792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 36729792 is about 6060.5108695555. The cubic root of 36729792 is about 332.4090376235.

The spelling of 36729792 in words is "thirty-six million, seven hundred twenty-nine thousand, seven hundred ninety-two".