73648692 has 72 divisors (see below), whose sum is σ = 212304456. Its totient is φ = 21325824.

The previous prime is 73648667. The next prime is 73648717. The reversal of 73648692 is 29684637.

It is an interprime number because it is at equal distance from previous prime (73648667) and next prime (73648717).

It can be written as a sum of positive squares in 4 ways, for example, as 443556 + 73205136 = 666^2 + 8556^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3328 + ... + 12584.

It is an arithmetic number, because the mean of its divisors is an integer number (2948673).

Almost surely, 2^73648692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73648692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106152228).

73648692 is an abundant number, since it is smaller than the sum of its proper divisors (138655764).

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

73648692 is a wasteful number, since it uses less digits than its factorization.

73648692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9297 (or 9292 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 73648692 is about 8581.8816118611. The cubic root of 73648692 is about 419.1682177432.

The spelling of 73648692 in words is "seventy-three million, six hundred forty-eight thousand, six hundred ninety-two".