75066264 has 320 divisors, whose sum is σ = 276460800. Its totient is φ = 18475776.

The previous prime is 75066209. The next prime is 75066269. The reversal of 75066264 is 46266057.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75066269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120359 + ... + 1120425.

It is an arithmetic number, because the mean of its divisors is an integer number (863940).

Almost surely, 2^75066264 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 75066264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138230400).

75066264 is an abundant number, since it is smaller than the sum of its proper divisors (201394536).

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

75066264 is a wasteful number, since it uses less digits than its factorization.

75066264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 75066264 is about 8664.0789470087. The cubic root of 75066264 is about 421.8404943630.

The spelling of 75066264 in words is "seventy-five million, sixty-six thousand, two hundred sixty-four".