75379290 has 64 divisors (see below), whose sum is σ = 213442560. Its totient is φ = 16672320.

The previous prime is 75379273. The next prime is 75379307. The reversal of 75379290 is 9297357.

It is an interprime number because it is at equal distance from previous prime (75379273) and next prime (75379307).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721 + ... + 12299.

It is an arithmetic number, because the mean of its divisors is an integer number (3335040).

Almost surely, 2^75379290 is an apocalyptic number.

75379290 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75379290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106721280).

75379290 is an abundant number, since it is smaller than the sum of its proper divisors (138063270).

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

75379290 is a wasteful number, since it uses less digits than its factorization.

75379290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627.

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 75379290 is about 8682.1247399470. The cubic root of 75379290 is about 422.4260388957.

The spelling of 75379290 in words is "seventy-five million, three hundred seventy-nine thousand, two hundred ninety".