75223980 has 288 divisors, whose sum is σ = 272982528. Its totient is φ = 16588800.

The previous prime is 75223969. The next prime is 75224047. The reversal of 75223980 is 8932257.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233150 + ... + 1233210.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^75223980 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 75223980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

75223980 is an abundant number, since it is smaller than the sum of its proper divisors (197758548).

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

75223980 is a wasteful number, since it uses less digits than its factorization.

75223980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75223980 is about 8673.1758889117. The cubic root of 75223980 is about 422.1357199933.

The spelling of 75223980 in words is "seventy-five million, two hundred twenty-three thousand, nine hundred eighty".