72521829 has 12 divisors (see below), whose sum is σ = 109308576. Its totient is φ = 46245672.

The previous prime is 72521819. The next prime is 72521833. The reversal of 72521829 is 92812527.

It is not a de Polignac number, because 72521829 - 2¹⁵ = 72489061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72521793 and 72521802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72521809) 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 11 ways as a sum of consecutive naturals, for example, 174967 + ... + 175380.

It is an arithmetic number, because the mean of its divisors is an integer number (9109048).

Almost surely, 2^72521829 is an apocalyptic number.

It is an amenable number.

72521829 is a deficient number, since it is larger than the sum of its proper divisors (36786747).

72521829 is a wasteful number, since it uses less digits than its factorization.

72521829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350376 (or 350373 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 72521829 is about 8515.9749295075. The cubic root of 72521829 is about 417.0193907792.

The spelling of 72521829 in words is "seventy-two million, five hundred twenty-one thousand, eight hundred twenty-nine".