73766251 has 8 divisors (see below), whose sum is σ = 79581600. Its totient is φ = 67971072.

The previous prime is 73766249. The next prime is 73766279. The reversal of 73766251 is 15266737.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73766251 - 2¹ = 73766249 is a prime.

It is a super-3 number, since 3×73766251³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73766251.

It is not an unprimeable number, because it can be changed into a prime (73766051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3051 + ... + 12523.

It is an arithmetic number, because the mean of its divisors is an integer number (9947700).

Almost surely, 2^73766251 is an apocalyptic number.

73766251 is a deficient number, since it is larger than the sum of its proper divisors (5815349).

73766251 is a wasteful number, since it uses less digits than its factorization.

73766251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10085.

The product of its digits is 52920, while the sum is 37.

The square root of 73766251 is about 8588.7281363424. The cubic root of 73766251 is about 419.3911264355.

The spelling of 73766251 in words is "seventy-three million, seven hundred sixty-six thousand, two hundred fifty-one".