75147660 has 288 divisors, whose sum is σ = 284444160. Its totient is φ = 15676416.

The previous prime is 75147659. The next prime is 75147661. The reversal of 75147660 is 6674157.

It is an interprime number because it is at equal distance from previous prime (75147659) and next prime (75147661).

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

It is not an unprimeable number, because it can be changed into a prime (75147661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029384 + ... + 1029456.

Almost surely, 2^75147660 is an apocalyptic number.

75147660 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75147660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142222080).

75147660 is an abundant number, since it is smaller than the sum of its proper divisors (209296500).

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

75147660 is a wasteful number, since it uses less digits than its factorization.

75147660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75147660 is about 8668.7749999640. The cubic root of 75147660 is about 421.9929095939.

The spelling of 75147660 in words is "seventy-five million, one hundred forty-seven thousand, six hundred sixty".