35712576 has 105 divisors (see below), whose sum is σ = 107154091. Its totient is φ = 11760768.

The previous prime is 35712569. The next prime is 35712581. The reversal of 35712576 is 67521753.

The square root of 35712576 is 5976.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 35712576.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 430231 + ... + 430313.

Almost surely, 2^35712576 is an apocalyptic number.

35712576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35712576 is the 5976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35712576

35712576 is an abundant number, since it is smaller than the sum of its proper divisors (71441515).

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

35712576 is an frugal number, since it uses more digits than its factorization.

35712576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 88 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The cubic root of 35712576 is about 329.3116229011.

Multiplying 35712576 by its sum of digits (36), we get a square (1285652736 = 35856²).

35712576 divided by its sum of digits (36) gives a square (992016 = 996²).

Multiplying 35712576 by its product of digits (44100), we get a square (1574924601600 = 1254960²).

The spelling of 35712576 in words is "thirty-five million, seven hundred twelve thousand, five hundred seventy-six".