72329961 has 16 divisors (see below), whose sum is σ = 105352128. Its totient is φ = 43776000.

The previous prime is 72329927. The next prime is 72329969. The reversal of 72329961 is 16992327.

It is not a de Polignac number, because 72329961 - 2⁶ = 72329897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72329969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39261 + ... + 41061.

It is an arithmetic number, because the mean of its divisors is an integer number (6584508).

Almost surely, 2^72329961 is an apocalyptic number.

It is an amenable number.

72329961 is a deficient number, since it is larger than the sum of its proper divisors (33022167).

72329961 is a wasteful number, since it uses less digits than its factorization.

72329961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032.

The product of its digits is 40824, while the sum is 39.

The square root of 72329961 is about 8504.7022875583. The cubic root of 72329961 is about 416.6513023312.

It can be divided in two parts, 72 and 329961, that added together give a palindrome (330033).

The spelling of 72329961 in words is "seventy-two million, three hundred twenty-nine thousand, nine hundred sixty-one".