72667084 has 24 divisors (see below), whose sum is σ = 145526528. Its totient is φ = 31101840.

The previous prime is 72667079. The next prime is 72667087. The reversal of 72667084 is 48076627.

It is not an unprimeable number, because it can be changed into a prime (72667087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30289 + ... + 32599.

Almost surely, 2^72667084 is an apocalyptic number.

It is an amenable number.

72667084 is an abundant number, since it is smaller than the sum of its proper divisors (72859444).

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

72667084 is a wasteful number, since it uses less digits than its factorization.

72667084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 72667084 is about 8524.4990468649. The cubic root of 72667084 is about 417.2976231210.

The spelling of 72667084 in words is "seventy-two million, six hundred sixty-seven thousand, eighty-four".