72610848 has 144 divisors (see below), whose sum is σ = 216530496. Its totient is φ = 23063040.

The previous prime is 72610843. The next prime is 72610849. The reversal of 72610848 is 84801627.

It is a tau number, because it is divible by the number of its divisors (144).

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 (72610843) 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, 1022653 + ... + 1022723.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 2^72610848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72610848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108265248).

72610848 is an abundant number, since it is smaller than the sum of its proper divisors (143919648).

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

72610848 is a wasteful number, since it uses less digits than its factorization.

72610848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72610848 is about 8521.1999155049. The cubic root of 72610848 is about 417.1899484854.

The spelling of 72610848 in words is "seventy-two million, six hundred ten thousand, eight hundred forty-eight".