72732852 has 36 divisors (see below), whose sum is σ = 188340516. Its totient is φ = 23652480.

The previous prime is 72732839. The next prime is 72732853. The reversal of 72732852 is 25823727.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25040016 + 47692836 = 5004^2 + 6906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72732853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23163 + ... + 26114.

It is an arithmetic number, because the mean of its divisors is an integer number (5231681).

Almost surely, 2^72732852 is an apocalyptic number.

It is an amenable number.

72732852 is an abundant number, since it is smaller than the sum of its proper divisors (115607664).

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

72732852 is a wasteful number, since it uses less digits than its factorization.

72732852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49328 (or 49323 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72732852 is about 8528.3557618101. The cubic root of 72732852 is about 417.4234781528.

The spelling of 72732852 in words is "seventy-two million, seven hundred thirty-two thousand, eight hundred fifty-two".