75348990 has 72 divisors (see below), whose sum is σ = 200692440. Its totient is φ = 19613664.

The previous prime is 75348971. The next prime is 75348991. The reversal of 75348990 is 9984357.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75348991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198621 + ... + 198999.

It is an arithmetic number, because the mean of its divisors is an integer number (2787395).

Almost surely, 2^75348990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75348990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100346220).

75348990 is an abundant number, since it is smaller than the sum of its proper divisors (125343450).

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

75348990 is a wasteful number, since it uses less digits than its factorization.

75348990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 75348990 is about 8680.3795999945. The cubic root of 75348990 is about 422.3694308435.

The spelling of 75348990 in words is "seventy-five million, three hundred forty-eight thousand, nine hundred ninety".