35879872 has 42 divisors (see below), whose sum is σ = 81658968. Its totient is φ = 15322752.

The previous prime is 35879863. The next prime is 35879929. The reversal of 35879872 is 27897853.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126643 + ... + 126925.

Almost surely, 2^35879872 is an apocalyptic number.

35879872 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 35879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40829484).

35879872 is an abundant number, since it is smaller than the sum of its proper divisors (45779096).

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

35879872 is an frugal number, since it uses more digits than its factorization.

35879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 292 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 35879872 is about 5989.9809682502. The cubic root of 35879872 is about 329.8250434701.

The spelling of 35879872 in words is "thirty-five million, eight hundred seventy-nine thousand, eight hundred seventy-two".