73822752 has 120 divisors (see below), whose sum is σ = 228690000. Its totient is φ = 23296896.

The previous prime is 73822751. The next prime is 73822753. The reversal of 73822752 is 25722837.

It is a happy number.

73822752 is a `hidden beast` number, since 7 + 382 + 275 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (73822751) and next prime (73822753).

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 (73822751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48499 + ... + 49997.

It is an arithmetic number, because the mean of its divisors is an integer number (1905750).

Almost surely, 2^73822752 is an apocalyptic number.

73822752 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 73822752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114345000).

73822752 is an abundant number, since it is smaller than the sum of its proper divisors (154867248).

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

73822752 is a wasteful number, since it uses less digits than its factorization.

73822752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1523 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 73822752 is about 8592.0167597602. The cubic root of 73822752 is about 419.4981761605.

The spelling of 73822752 in words is "seventy-three million, eight hundred twenty-two thousand, seven hundred fifty-two".