72827916 has 72 divisors (see below), whose sum is σ = 198950976. Its totient is φ = 20674080.

The previous prime is 72827879. The next prime is 72827917. The reversal of 72827916 is 61972827.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72827917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123775 + ... + 124361.

It is an arithmetic number, because the mean of its divisors is an integer number (2763208).

Almost surely, 2^72827916 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 72827916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99475488).

72827916 is an abundant number, since it is smaller than the sum of its proper divisors (126123060).

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

72827916 is a wasteful number, since it uses less digits than its factorization.

72827916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 810 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 72827916 is about 8533.9273491166. The cubic root of 72827916 is about 417.6052606096.

The spelling of 72827916 in words is "seventy-two million, eight hundred twenty-seven thousand, nine hundred sixteen".