73678752 has 216 divisors, whose sum is σ = 255449376. Its totient is φ = 20047104.

The previous prime is 73678747. The next prime is 73678769. The reversal of 73678752 is 25787637.

Its product of digits (493920) is a multiple of the sum of its prime factors (280).

It is a junction number, because it is equal to n+sod(n) for n = 73678698 and 73678707.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324463 + ... + 324689.

It is an arithmetic number, because the mean of its divisors is an integer number (1182636).

Almost surely, 2^73678752 is an apocalyptic number.

73678752 is a gapful number since it is divisible by the number (72) 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 73678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127724688).

73678752 is an abundant number, since it is smaller than the sum of its proper divisors (181770624).

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

73678752 is a wasteful number, since it uses less digits than its factorization.

73678752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 73678752 is about 8583.6327973650. The cubic root of 73678752 is about 419.2252383655.

The spelling of 73678752 in words is "seventy-three million, six hundred seventy-eight thousand, seven hundred fifty-two".