72085572 has 48 divisors (see below), whose sum is σ = 201268480. Its totient is φ = 22179744.

The previous prime is 72085553. The next prime is 72085577. The reversal of 72085572 is 27558027.

72085572 is a `hidden beast` number, since 7 + 2 + 0 + 85 + 572 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72085577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24268 + ... + 27075.

Almost surely, 2^72085572 is an apocalyptic number.

It is an amenable number.

72085572 is an abundant number, since it is smaller than the sum of its proper divisors (129182908).

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

72085572 is a wasteful number, since it uses less digits than its factorization.

72085572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51369 (or 51361 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72085572 is about 8490.3222553682. The cubic root of 72085572 is about 416.1815113354.

The spelling of 72085572 in words is "seventy-two million, eighty-five thousand, five hundred seventy-two".