73661952 has 320 divisors, whose sum is σ = 263983104. Its totient is φ = 17694720.

The previous prime is 73661947. The next prime is 73661963. The reversal of 73661952 is 25916637.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 73661952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376177 + ... + 2376207.

Almost surely, 2^73661952 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 73661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

73661952 is an abundant number, since it is smaller than the sum of its proper divisors (190321152).

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

73661952 is a wasteful number, since it uses less digits than its factorization.

73661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 73661952 is about 8582.6541349398. The cubic root of 73661952 is about 419.1933724648.

The spelling of 73661952 in words is "seventy-three million, six hundred sixty-one thousand, nine hundred fifty-two".