73961472 has 104 divisors (see below), whose sum is σ = 212834944. Its totient is φ = 22708224.

The previous prime is 73961453. The next prime is 73961477. The reversal of 73961472 is 27416937.

It is a tau number, because it is divible by the number of its divisors (104).

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 73961472.

It is not an unprimeable number, because it can be changed into a prime (73961477) 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, 159513 + ... + 159975.

Almost surely, 2^73961472 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 73961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106417472).

73961472 is an abundant number, since it is smaller than the sum of its proper divisors (138873472).

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

73961472 is a wasteful number, since it uses less digits than its factorization.

73961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 73961472 is about 8600.0855809695. The cubic root of 73961472 is about 419.7607707920.

The spelling of 73961472 in words is "seventy-three million, nine hundred sixty-one thousand, four hundred seventy-two".