75287940 has 96 divisors (see below), whose sum is σ = 259472640. Its totient is φ = 15883776.

The previous prime is 75287929. The next prime is 75287941. The reversal of 75287940 is 4978257.

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

It is a junction number, because it is equal to n+sod(n) for n = 75287892 and 75287901.

It is not an unprimeable number, because it can be changed into a prime (75287941) 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 31 ways as a sum of consecutive naturals, for example, 1435 + ... + 12354.

It is an arithmetic number, because the mean of its divisors is an integer number (2702840).

Almost surely, 2^75287940 is an apocalyptic number.

75287940 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 75287940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129736320).

75287940 is an abundant number, since it is smaller than the sum of its proper divisors (184184700).

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

75287940 is a wasteful number, since it uses less digits than its factorization.

75287940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13821 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 75287940 is about 8676.8623361213. The cubic root of 75287940 is about 422.2553279161.

The spelling of 75287940 in words is "seventy-five million, two hundred eighty-seven thousand, nine hundred forty".