73339902720 has 864 divisors, whose sum is σ = 308252206080. Its totient is φ = 15726182400.

The previous prime is 73339902677. The next prime is 73339902743. The reversal of 73339902720 is 2720993337.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231356002 + ... + 231356318.

Almost surely, 2^73339902720 is an apocalyptic number.

73339902720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73339902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154126103040).

73339902720 is an abundant number, since it is smaller than the sum of its proper divisors (234912303360).

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

73339902720 is a wasteful number, since it uses less digits than its factorization.

73339902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 73339902720 in words is "seventy-three billion, three hundred thirty-nine million, nine hundred two thousand, seven hundred twenty".