72891011 has 8 divisors (see below), whose sum is σ = 77779920. Its totient is φ = 68107392.

The previous prime is 72890963. The next prime is 72891029. The reversal of 72891011 is 11019827.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72891011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72891061) 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 7 ways as a sum of consecutive naturals, for example, 24890 + ... + 27663.

It is an arithmetic number, because the mean of its divisors is an integer number (9722490).

Almost surely, 2^72891011 is an apocalyptic number.

72891011 is a deficient number, since it is larger than the sum of its proper divisors (4888909).

72891011 is a wasteful number, since it uses less digits than its factorization.

72891011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52645.

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 72891011 is about 8537.6232641175. The cubic root of 72891011 is about 417.7258242609.

It can be divided in two parts, 728910 and 11, that multiplied together give a triangular number (8018010 = T₄₀₀₄).

The spelling of 72891011 in words is "seventy-two million, eight hundred ninety-one thousand, eleven".