72767540 has 48 divisors (see below), whose sum is σ = 158721024. Its totient is φ = 27993600.

The previous prime is 72767537. The next prime is 72767647. The reversal of 72767540 is 4576727.

It is a super-2 number, since 2×72767540² = 10590229755303200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72767494 and 72767503.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 149177 + ... + 149663.

It is an arithmetic number, because the mean of its divisors is an integer number (3306688).

Almost surely, 2^72767540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72767540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79360512).

72767540 is an abundant number, since it is smaller than the sum of its proper divisors (85953484).

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

72767540 is a wasteful number, since it uses less digits than its factorization.

72767540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 72767540 is about 8530.3892056576. The cubic root of 72767540 is about 417.4898272827.

The spelling of 72767540 in words is "seventy-two million, seven hundred sixty-seven thousand, five hundred forty".