72916129 has 32 divisors (see below), whose sum is σ = 92252160. Its totient is φ = 56635200.

The previous prime is 72916117. The next prime is 72916133. The reversal of 72916129 is 92161927.

It is not a de Polignac number, because 72916129 - 2⁵ = 72916097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72916139) 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 31 ways as a sum of consecutive naturals, for example, 127414 + ... + 127984.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^72916129 is an apocalyptic number.

It is an amenable number.

72916129 is a deficient number, since it is larger than the sum of its proper divisors (19336031).

72916129 is a wasteful number, since it uses less digits than its factorization.

72916129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its digits is 13608, while the sum is 37.

The square root of 72916129 is about 8539.0941557053. The cubic root of 72916129 is about 417.7738010605.

It can be divided in two parts, 729 and 16129, that multiplied together give a square (11758041 = 3429²).

The spelling of 72916129 in words is "seventy-two million, nine hundred sixteen thousand, one hundred twenty-nine".