336072072 has 32 divisors (see below), whose sum is σ = 960206400. Its totient is φ = 96020544.

The previous prime is 336072041. The next prime is 336072101. The reversal of 336072072 is 270270633.

336072072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×336072072² = 225888875156746368, which contains 22 as substring.

336072072 is a modest number, since divided by 72072 gives 336 as remainder.

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, 1000047 + ... + 1000382.

It is an arithmetic number, because the mean of its divisors is an integer number (30006450).

Almost surely, 2^336072072 is an apocalyptic number.

It is an amenable number.

336072072 is an abundant number, since it is smaller than the sum of its proper divisors (624134328).

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

336072072 is a wasteful number, since it uses less digits than its factorization.

336072072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000445 (or 2000441 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 336072072 is about 18332.2685993851. The cubic root of 336072072 is about 695.2550326047.

The spelling of 336072072 in words is "three hundred thirty-six million, seventy-two thousand, seventy-two".