72652830 has 96 divisors (see below), whose sum is σ = 188425440. Its totient is φ = 17902080.

The previous prime is 72652807. The next prime is 72652841. The reversal of 72652830 is 3825627.

It is a junction number, because it is equal to n+sod(n) for n = 72652791 and 72652800.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1191000 + ... + 1191060.

It is an arithmetic number, because the mean of its divisors is an integer number (1962765).

Almost surely, 2^72652830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72652830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94212720).

72652830 is an abundant number, since it is smaller than the sum of its proper divisors (115772610).

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

72652830 is a wasteful number, since it uses less digits than its factorization.

72652830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72652830 is about 8523.6629450020. The cubic root of 72652830 is about 417.2703363544.

The spelling of 72652830 in words is "seventy-two million, six hundred fifty-two thousand, eight hundred thirty".