36725040 has 120 divisors (see below), whose sum is σ = 134576208. Its totient is φ = 8901120.

The previous prime is 36725027. The next prime is 36725047. The reversal of 36725040 is 4052763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 36724995 and 36725013.

It is not an unprimeable number, because it can be changed into a prime (36725047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5602 + ... + 10238.

Almost surely, 2^36725040 is an apocalyptic number.

36725040 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 36725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67288104).

36725040 is an abundant number, since it is smaller than the sum of its proper divisors (97851168).

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

36725040 is a wasteful number, since it uses less digits than its factorization.

36725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36725040 is about 6060.1188107165. The cubic root of 36725040 is about 332.3947016146.

The spelling of 36725040 in words is "thirty-six million, seven hundred twenty-five thousand, forty".