72788250 has 128 divisors (see below), whose sum is σ = 194059008. Its totient is φ = 18144000.

The previous prime is 72788249. The next prime is 72788257. The reversal of 72788250 is 5288727.

It is a junction number, because it is equal to n+sod(n) for n = 72788199 and 72788208.

It is not an unprimeable number, because it can be changed into a prime (72788257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1193220 + ... + 1193280.

It is an arithmetic number, because the mean of its divisors is an integer number (1516086).

Almost surely, 2^72788250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72788250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97029504).

72788250 is an abundant number, since it is smaller than the sum of its proper divisors (121270758).

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

72788250 is a wasteful number, since it uses less digits than its factorization.

72788250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 72788250 is about 8531.6030146743. The cubic root of 72788250 is about 417.5294300790.

The spelling of 72788250 in words is "seventy-two million, seven hundred eighty-eight thousand, two hundred fifty".