36754128 has 80 divisors (see below), whose sum is σ = 106392000. Its totient is φ = 12147840.

The previous prime is 36754117. The next prime is 36754139. The reversal of 36754128 is 82145763.

It is an interprime number because it is at equal distance from previous prime (36754117) and next prime (36754139).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36754092 and 36754101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64083 + ... + 64653.

It is an arithmetic number, because the mean of its divisors is an integer number (1329900).

Almost surely, 2^36754128 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 36754128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196000).

36754128 is an abundant number, since it is smaller than the sum of its proper divisors (69637872).

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

36754128 is a wasteful number, since it uses less digits than its factorization.

36754128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 36754128 is about 6062.5182886322. The cubic root of 36754128 is about 332.4824359916.

The spelling of 36754128 in words is "thirty-six million, seven hundred fifty-four thousand, one hundred twenty-eight".