72077200 has 120 divisors (see below), whose sum is σ = 189862848. Its totient is φ = 26135040.

The previous prime is 72077197. The next prime is 72077219. The reversal of 72077200 is 277027.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 431517 + ... + 431683.

Almost surely, 2^72077200 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 72077200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94931424).

72077200 is an abundant number, since it is smaller than the sum of its proper divisors (117785648).

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

72077200 is a wasteful number, since it uses less digits than its factorization.

72077200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 25.

The square root of 72077200 is about 8489.8292091184. The cubic root of 72077200 is about 416.1653989733.

The spelling of 72077200 in words is "seventy-two million, seventy-seven thousand, two hundred".