75141990 has 144 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 15603840.

The previous prime is 75141977. The next prime is 75141991. The reversal of 75141990 is 9914157.

It is a super-2 number, since 2×75141990² = 11292637322320200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75141991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47736 + ... + 49284.

It is an arithmetic number, because the mean of its divisors is an integer number (1722825).

Almost surely, 2^75141990 is an apocalyptic number.

75141990 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 75141990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

75141990 is an abundant number, since it is smaller than the sum of its proper divisors (172944810).

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

75141990 is a wasteful number, since it uses less digits than its factorization.

75141990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 75141990 is about 8668.4479579680. The cubic root of 75141990 is about 421.9822960011.

The spelling of 75141990 in words is "seventy-five million, one hundred forty-one thousand, nine hundred ninety".