73875648 has 224 divisors, whose sum is σ = 257495040. Its totient is φ = 18109440.

The previous prime is 73875619. The next prime is 73875649. The reversal of 73875648 is 84657837.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×73875648² = 10915222734839808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1128960) is a multiple of the sum of its prime factors (315).

It is a junction number, because it is equal to n+sod(n) for n = 73875597 and 73875606.

It is not an unprimeable number, because it can be changed into a prime (73875649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280765 + ... + 281027.

Almost surely, 2^73875648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128747520).

73875648 is an abundant number, since it is smaller than the sum of its proper divisors (183619392).

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

73875648 is a wasteful number, since it uses less digits than its factorization.

73875648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 73875648 is about 8595.0944148392. The cubic root of 73875648 is about 419.5983461721.

The spelling of 73875648 in words is "seventy-three million, eight hundred seventy-five thousand, six hundred forty-eight".