73768035072 has 144 divisors (see below), whose sum is σ = 198260232800. Its totient is φ = 24348819456.

The previous prime is 73768035007. The next prime is 73768035091. The reversal of 73768035072 is 27053086737.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42080148 + ... + 42081900.

Almost surely, 2^73768035072 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 73768035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99130116400).

73768035072 is an abundant number, since it is smaller than the sum of its proper divisors (124492197728).

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

73768035072 is a wasteful number, since it uses less digits than its factorization.

73768035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 73768035072 in words is "seventy-three billion, seven hundred sixty-eight million, thirty-five thousand, seventy-two".