72801852 has 12 divisors (see below), whose sum is σ = 169871016. Its totient is φ = 24267280.

The previous prime is 72801793. The next prime is 72801887. The reversal of 72801852 is 25810827.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3033399 + ... + 3033422.

It is an arithmetic number, because the mean of its divisors is an integer number (14155918).

Almost surely, 2^72801852 is an apocalyptic number.

It is an amenable number.

72801852 is an abundant number, since it is smaller than the sum of its proper divisors (97069164).

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

72801852 is a wasteful number, since it uses less digits than its factorization.

72801852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066828 (or 6066826 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 72801852 is about 8532.4001312644. The cubic root of 72801852 is about 417.5554364816. Note that the first 3 decimals are identical.

Subtracting from 72801852 its reverse (25810827), we obtain a square (46991025 = 6855²).

The spelling of 72801852 in words is "seventy-two million, eight hundred one thousand, eight hundred fifty-two".