73628361 has 12 divisors (see below), whose sum is σ = 110019780. Its totient is φ = 47392800.

The previous prime is 73628353. The next prime is 73628369. The reversal of 73628361 is 16382637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73628353) and next prime (73628369).

It can be written as a sum of positive squares in 2 ways, for example, as 26842761 + 46785600 = 5181^2 + 6840^2 .

It is not a de Polignac number, because 73628361 - 2³ = 73628353 is a prime.

It is a super-2 number, since 2×73628361² = 10842271087092642, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73628369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140790 + ... + 141311.

It is an arithmetic number, because the mean of its divisors is an integer number (9168315).

Almost surely, 2^73628361 is an apocalyptic number.

It is an amenable number.

73628361 is a deficient number, since it is larger than the sum of its proper divisors (36391419).

73628361 is a wasteful number, since it uses less digits than its factorization.

73628361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282136 (or 282133 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 73628361 is about 8580.6969996615. The cubic root of 73628361 is about 419.1296432028.

The spelling of 73628361 in words is "seventy-three million, six hundred twenty-eight thousand, three hundred sixty-one".