35775072 has 72 divisors (see below), whose sum is σ = 107734536. Its totient is φ = 11222016.

The previous prime is 35775031. The next prime is 35775121. The reversal of 35775072 is 27057753.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1243 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (1496313).

Almost surely, 2^35775072 is an apocalyptic number.

35775072 is a gapful number since it is divisible by the number (32) 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 35775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53867268).

35775072 is an abundant number, since it is smaller than the sum of its proper divisors (71959464).

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

35775072 is a wasteful number, since it uses less digits than its factorization.

35775072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 35775072 is about 5981.2266300484. The cubic root of 35775072 is about 329.5036063045.

It can be divided in two parts, 3577 and 5072, that added together give a square (8649 = 93²).

The spelling of 35775072 in words is "thirty-five million, seven hundred seventy-five thousand, seventy-two".