72561835 has 8 divisors (see below), whose sum is σ = 87127776. Its totient is φ = 58013760.

The previous prime is 72561833. The next prime is 72561877. The reversal of 72561835 is 53816527.

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

It is not a de Polignac number, because 72561835 - 2¹ = 72561833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72561794 and 72561803.

It is not an unprimeable number, because it can be changed into a prime (72561833) 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, 7290 + ... + 14080.

It is an arithmetic number, because the mean of its divisors is an integer number (10890972).

Almost surely, 2^72561835 is an apocalyptic number.

72561835 is a deficient number, since it is larger than the sum of its proper divisors (14565941).

72561835 is a wasteful number, since it uses less digits than its factorization.

72561835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933.

The product of its digits is 50400, while the sum is 37.

The square root of 72561835 is about 8518.3234852875. The cubic root of 72561835 is about 417.0960583205.

The spelling of 72561835 in words is "seventy-two million, five hundred sixty-one thousand, eight hundred thirty-five".