72827872 has 24 divisors (see below), whose sum is σ = 154409976. Its totient is φ = 33612672.

The previous prime is 72827869. The next prime is 72827873. The reversal of 72827872 is 27872827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72827873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87118 + ... + 87949.

It is an arithmetic number, because the mean of its divisors is an integer number (6433749).

Almost surely, 2^72827872 is an apocalyptic number.

It is an amenable number.

72827872 is an abundant number, since it is smaller than the sum of its proper divisors (81582104).

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

72827872 is a wasteful number, since it uses less digits than its factorization.

72827872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175090 (or 175082 counting only the distinct ones).

The product of its digits is 175616, while the sum is 43.

The square root of 72827872 is about 8533.9247711706. The cubic root of 72827872 is about 417.6051765089.

The spelling of 72827872 in words is "seventy-two million, eight hundred twenty-seven thousand, eight hundred seventy-two".