72807476 has 12 divisors (see below), whose sum is σ = 145615008. Its totient is φ = 31203192.

The previous prime is 72807473. The next prime is 72807479. The reversal of 72807476 is 67470827.

It is an interprime number because it is at equal distance from previous prime (72807473) and next prime (72807479).

72807476 is an admirable number.

It is a super-2 number, since 2×72807476² = 10601857122981152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72807473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1300106 + ... + 1300161.

It is an arithmetic number, because the mean of its divisors is an integer number (12134584).

Almost surely, 2^72807476 is an apocalyptic number.

It is an amenable number.

72807476 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72807476 is a wasteful number, since it uses less digits than its factorization.

72807476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600278 (or 2600276 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 72807476 is about 8532.7296921911. The cubic root of 72807476 is about 417.5661883660.

The spelling of 72807476 in words is "seventy-two million, eight hundred seven thousand, four hundred seventy-six".