71948991 has 16 divisors (see below), whose sum is σ = 105373440. Its totient is φ = 43464960.

The previous prime is 71948977. The next prime is 71949001. The reversal of 71948991 is 19984917.

It is not a de Polignac number, because 71948991 - 2¹¹ = 71946943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71948991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71948291) 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, 26130 + ... + 28751.

It is an arithmetic number, because the mean of its divisors is an integer number (6585840).

Almost surely, 2^71948991 is an apocalyptic number.

71948991 is a deficient number, since it is larger than the sum of its proper divisors (33424449).

71948991 is a wasteful number, since it uses less digits than its factorization.

71948991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54926.

The product of its digits is 163296, while the sum is 48.

The square root of 71948991 is about 8482.2751075404. The cubic root of 71948991 is about 415.9184978862.

The spelling of 71948991 in words is "seventy-one million, nine hundred forty-eight thousand, nine hundred ninety-one".