75009948 has 48 divisors (see below), whose sum is σ = 198414720. Its totient is φ = 21864384.

The previous prime is 75009943. The next prime is 75009953. The reversal of 75009948 is 84990057.

It is an interprime number because it is at equal distance from previous prime (75009943) and next prime (75009953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75009941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9690 + ... + 15617.

It is an arithmetic number, because the mean of its divisors is an integer number (4133640).

Almost surely, 2^75009948 is an apocalyptic number.

75009948 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

75009948 is an abundant number, since it is smaller than the sum of its proper divisors (123404772).

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

75009948 is a wasteful number, since it uses less digits than its factorization.

75009948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25346 (or 25344 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 75009948 is about 8660.8283668481. The cubic root of 75009948 is about 421.7349773113.

It can be divided in two parts, 75009 and 948, that added together give a palindrome (75957).

The spelling of 75009948 in words is "seventy-five million, nine thousand, nine hundred forty-eight".