72811760 has 40 divisors (see below), whose sum is σ = 193472736. Its totient is φ = 24963840.

The previous prime is 72811729. The next prime is 72811763. The reversal of 72811760 is 6711827.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72811763) 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, 64451 + ... + 65570.

Almost surely, 2^72811760 is an apocalyptic number.

72811760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72811760 is an abundant number, since it is smaller than the sum of its proper divisors (120660976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72811760 is a wasteful number, since it uses less digits than its factorization.

72811760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130041 (or 130035 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 72811760 is about 8532.9807218814. The cubic root of 72811760 is about 417.5743780858.

The spelling of 72811760 in words is "seventy-two million, eight hundred eleven thousand, seven hundred sixty".