35725440 has 128 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 9101312.

The previous prime is 35725439. The next prime is 35725451. The reversal of 35725440 is 4452753.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35725398 and 35725407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43756 + ... + 44564.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 2^35725440 is an apocalyptic number.

35725440 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 35725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

35725440 is an abundant number, since it is smaller than the sum of its proper divisors (83247360).

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

35725440 is a wasteful number, since it uses less digits than its factorization.

35725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 35725440 is about 5977.0762083146. The cubic root of 35725440 is about 329.3511585180.

The spelling of 35725440 in words is "thirty-five million, seven hundred twenty-five thousand, four hundred forty".