35725320 has 128 divisors (see below), whose sum is σ = 125424000. Its totient is φ = 9020160.

The previous prime is 35725273. The next prime is 35725343. The reversal of 35725320 is 2352753.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 19650 + ... + 21390.

It is an arithmetic number, because the mean of its divisors is an integer number (979875).

Almost surely, 2^35725320 is an apocalyptic number.

35725320 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 35725320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62712000).

35725320 is an abundant number, since it is smaller than the sum of its proper divisors (89698680).

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

35725320 is a wasteful number, since it uses less digits than its factorization.

35725320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 35725320 is about 5977.0661699533. The cubic root of 35725320 is about 329.3507897595.

The spelling of 35725320 in words is "thirty-five million, seven hundred twenty-five thousand, three hundred twenty".