72916200 has 240 divisors, whose sum is σ = 289877280. Its totient is φ = 16640640.

The previous prime is 72916183. The next prime is 72916211. The reversal of 72916200 is 261927.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113079 + ... + 113721.

It is an arithmetic number, because the mean of its divisors is an integer number (1207822).

Almost surely, 2^72916200 is an apocalyptic number.

72916200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144938640).

72916200 is an abundant number, since it is smaller than the sum of its proper divisors (216961080).

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

72916200 is a wasteful number, since it uses less digits than its factorization.

72916200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72916200 is about 8539.0983130539. The cubic root of 72916200 is about 417.7739366588.

The spelling of 72916200 in words is "seventy-two million, nine hundred sixteen thousand, two hundred".