72761871 has 32 divisors (see below), whose sum is σ = 119927808. Its totient is φ = 38211840.

The previous prime is 72761813. The next prime is 72761879. The reversal of 72761871 is 17816727.

It is not a de Polignac number, because 72761871 - 2¹⁰ = 72760847 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72761879) 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, 84475 + ... + 85331.

It is an arithmetic number, because the mean of its divisors is an integer number (3747744).

Almost surely, 2^72761871 is an apocalyptic number.

72761871 is a deficient number, since it is larger than the sum of its proper divisors (47165937).

72761871 is a wasteful number, since it uses less digits than its factorization.

72761871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191.

The product of its digits is 32928, while the sum is 39.

The square root of 72761871 is about 8530.0569165745. The cubic root of 72761871 is about 417.4789854005.

The spelling of 72761871 in words is "seventy-two million, seven hundred sixty-one thousand, eight hundred seventy-one".