75222000 has 320 divisors, whose sum is σ = 309504000. Its totient is φ = 17107200.

The previous prime is 75221989. The next prime is 75222011. The reversal of 75222000 is 22257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75221989) and next prime (75222011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377901 + ... + 378099.

It is an arithmetic number, because the mean of its divisors is an integer number (967200).

Almost surely, 2^75222000 is an apocalyptic number.

75222000 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 75222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154752000).

75222000 is an abundant number, since it is smaller than the sum of its proper divisors (234282000).

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

75222000 is a wasteful number, since it uses less digits than its factorization.

75222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 75222000 is about 8673.0617431216. The cubic root of 75222000 is about 422.1320162273.

Adding to 75222000 its reverse (22257), we get a palindrome (75244257).

The spelling of 75222000 in words is "seventy-five million, two hundred twenty-two thousand".