104072652 has 72 divisors (see below), whose sum is σ = 280949760. Its totient is φ = 32387040.

The previous prime is 104072651. The next prime is 104072659. The reversal of 104072652 is 256270401.

104072652 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 2 + 652 = 666.

It is a super-2 number, since 2×104072652² = 21662233788626208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104072651) 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 23 ways as a sum of consecutive naturals, for example, 47493 + ... + 49635.

It is an arithmetic number, because the mean of its divisors is an integer number (3902080).

Almost surely, 2^104072652 is an apocalyptic number.

104072652 is a gapful number since it is divisible by the number (12) 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 104072652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140474880).

104072652 is an abundant number, since it is smaller than the sum of its proper divisors (176877108).

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

104072652 is a wasteful number, since it uses less digits than its factorization.

104072652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 104072652 is about 10201.6004626725. The cubic root of 104072652 is about 470.3764179314.

The spelling of 104072652 in words is "one hundred four million, seventy-two thousand, six hundred fifty-two".