36726528 has 144 divisors (see below), whose sum is σ = 108168480. Its totient is φ = 11010048.

The previous prime is 36726527. The next prime is 36726541. The reversal of 36726528 is 82562763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36726527) 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, 378576 + ... + 378672.

It is an arithmetic number, because the mean of its divisors is an integer number (751170).

Almost surely, 2^36726528 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 36726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084240).

36726528 is an abundant number, since it is smaller than the sum of its proper divisors (71441952).

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

36726528 is a wasteful number, since it uses less digits than its factorization.

36726528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 36726528 is about 6060.2415793432. The cubic root of 36726528 is about 332.3991908009.

It can be divided in two parts, 3672 and 6528, that multiplied together give a square (23970816 = 4896²).

The spelling of 36726528 in words is "thirty-six million, seven hundred twenty-six thousand, five hundred twenty-eight".