73988641 has 32 divisors (see below), whose sum is σ = 87333120. Its totient is φ = 62208000.

The previous prime is 73988633. The next prime is 73988647. The reversal of 73988641 is 14688937.

It is a happy number.

It is a 3-Lehmer number, since φ(73988641) divides (73988641-1)³.

It is a cyclic number.

It is not a de Polignac number, because 73988641 - 2³ = 73988633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73988591 and 73988600.

It is not an unprimeable number, because it can be changed into a prime (73988647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489916 + ... + 490066.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

It is a Poulet number, since it divides 2^73988640-1.

Almost surely, 2^73988641 is an apocalyptic number.

It is an amenable number.

73988641 is a deficient number, since it is larger than the sum of its proper divisors (13344479).

73988641 is a wasteful number, since it uses less digits than its factorization.

73988641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its digits is 290304, while the sum is 46.

The square root of 73988641 is about 8601.6650132402. The cubic root of 73988641 is about 419.8121627934.

The spelling of 73988641 in words is "seventy-three million, nine hundred eighty-eight thousand, six hundred forty-one".