35987072 has 64 divisors (see below), whose sum is σ = 79682400. Its totient is φ = 16051200.

The previous prime is 35987059. The next prime is 35987093. The reversal of 35987072 is 27078953.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×35987072² = 2590138702266368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85679 + ... + 86097.

Almost surely, 2^35987072 is an apocalyptic number.

35987072 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 35987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841200).

35987072 is an abundant number, since it is smaller than the sum of its proper divisors (43695328).

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

35987072 is a wasteful number, since it uses less digits than its factorization.

35987072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 35987072 is about 5998.9225699287. The cubic root of 35987072 is about 330.1531948651.

The spelling of 35987072 in words is "thirty-five million, nine hundred eighty-seven thousand, seventy-two".