73403679072 has 96 divisors (see below), whose sum is σ = 197734521600. Its totient is φ = 23829926400.

The previous prime is 73403679067. The next prime is 73403679073. The reversal of 73403679072 is 27097630437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×73403679072³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73403679073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415197 + ... + 1466147.

It is an arithmetic number, because the mean of its divisors is an integer number (2059734600).

Almost surely, 2^73403679072 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 73403679072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98867260800).

73403679072 is an abundant number, since it is smaller than the sum of its proper divisors (124330842528).

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

73403679072 is a wasteful number, since it uses less digits than its factorization.

73403679072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51356 (or 51348 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 73403679072 in words is "seventy-three billion, four hundred three million, six hundred seventy-nine thousand, seventy-two".