36787520 has 112 divisors (see below), whose sum is σ = 109289088. Its totient is φ = 11458560.

The previous prime is 36787469. The next prime is 36787523. The reversal of 36787520 is 2578763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36787523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23894 + ... + 25386.

Almost surely, 2^36787520 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 36787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54644544).

36787520 is an abundant number, since it is smaller than the sum of its proper divisors (72501568).

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

36787520 is a wasteful number, since it uses less digits than its factorization.

36787520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 36787520 is about 6065.2716344777. The cubic root of 36787520 is about 332.5830949160.

The spelling of 36787520 in words is "thirty-six million, seven hundred eighty-seven thousand, five hundred twenty".