73066752 has 216 divisors, whose sum is σ = 243563040. Its totient is φ = 21427200.

The previous prime is 73066751. The next prime is 73066753. The reversal of 73066752 is 25766037.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73066751) and next prime (73066753).

It is a tau number, because it is divible by the number of its divisors (216).

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 (73066751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2356977 + ... + 2357007.

Almost surely, 2^73066752 is an apocalyptic number.

73066752 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 73066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121781520).

73066752 is an abundant number, since it is smaller than the sum of its proper divisors (170496288).

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

73066752 is a wasteful number, since it uses less digits than its factorization.

73066752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 73066752 is about 8547.9092180486. The cubic root of 73066752 is about 418.0612686150.

The spelling of 73066752 in words is "seventy-three million, sixty-six thousand, seven hundred fifty-two".