72415829 has 8 divisors (see below), whose sum is σ = 73505880. Its totient is φ = 71332096.

The previous prime is 72415823. The next prime is 72415841. The reversal of 72415829 is 92851427.

It can be written as a sum of positive squares in 4 ways, for example, as 6838225 + 65577604 = 2615^2 + 8098^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72415829 - 2⁸ = 72415573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72415792 and 72415801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72415823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24689 + ... + 27465.

It is an arithmetic number, because the mean of its divisors is an integer number (9188235).

Almost surely, 2^72415829 is an apocalyptic number.

It is an amenable number.

72415829 is a deficient number, since it is larger than the sum of its proper divisors (1090051).

72415829 is a wasteful number, since it uses less digits than its factorization.

72415829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159.

The product of its digits is 40320, while the sum is 38.

The square root of 72415829 is about 8509.7490562296. The cubic root of 72415829 is about 416.8161158472.

The spelling of 72415829 in words is "seventy-two million, four hundred fifteen thousand, eight hundred twenty-nine".