73728001 has 4 divisors (see below), whose sum is σ = 73746004. Its totient is φ = 73710000.

The previous prime is 73727981. The next prime is 73728019. The reversal of 73728001 is 10082737.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10082737 = 7 ⋅1440391.

It can be written as a sum of positive squares in 2 ways, for example, as 51825601 + 21902400 = 7199^2 + 4680^2 .

It is a cyclic number.

It is not a de Polignac number, because 73728001 - 2⁷ = 73727873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73728301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 451 + ... + 12151.

It is an arithmetic number, because the mean of its divisors is an integer number (18436501).

It is a Proth number, since it is equal to 1125 ⋅ 2¹⁶ + 1 and 1125 < 2¹⁶.

Almost surely, 2^73728001 is an apocalyptic number.

It is an amenable number.

73728001 is a deficient number, since it is larger than the sum of its proper divisors (18003).

73728001 is a wasteful number, since it uses less digits than its factorization.

73728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18002.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 73728001 is about 8586.5010918301. The cubic root of 73728001 is about 419.3186249692.

The spelling of 73728001 in words is "seventy-three million, seven hundred twenty-eight thousand, one".