75201408 has 96 divisors (see below), whose sum is σ = 223961400. Its totient is φ = 24192000.

The previous prime is 75201407. The next prime is 75201409. The reversal of 75201408 is 80410257.

It is an interprime number because it is at equal distance from previous prime (75201407) and next prime (75201409).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75201407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32283 + ... + 34533.

Almost surely, 2^75201408 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 75201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111980700).

75201408 is an abundant number, since it is smaller than the sum of its proper divisors (148759992).

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

75201408 is a wasteful number, since it uses less digits than its factorization.

75201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 75201408 is about 8671.8745378378. The cubic root of 75201408 is about 422.0934932075.

The spelling of 75201408 in words is "seventy-five million, two hundred one thousand, four hundred eight".