72091607 has 16 divisors (see below), whose sum is σ = 85916160. Its totient is φ = 59203872.

The previous prime is 72091601. The next prime is 72091609. The reversal of 72091607 is 70619027.

It is not a de Polignac number, because 72091607 - 2¹⁸ = 71829463 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72091601) 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 15 ways as a sum of consecutive naturals, for example, 13694 + ... + 18212.

It is an arithmetic number, because the mean of its divisors is an integer number (5369760).

Almost surely, 2^72091607 is an apocalyptic number.

72091607 is a deficient number, since it is larger than the sum of its proper divisors (13824553).

72091607 is a wasteful number, since it uses less digits than its factorization.

72091607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 72091607 is about 8490.6776525787. The cubic root of 72091607 is about 416.1931252421.

The spelling of 72091607 in words is "seventy-two million, ninety-one thousand, six hundred seven".