73872902880 has 1152 divisors, whose sum is σ = 319650831360. Its totient is φ = 15601766400.

The previous prime is 73872902863. The next prime is 73872902897. The reversal of 73872902880 is 8820927837.

73872902880 is a `hidden beast` number, since 73 + 8 + 7 + 290 + 288 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73872902863) and next prime (73872902897).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 731414830 + ... + 731414930.

It is an arithmetic number, because the mean of its divisors is an integer number (277474680).

Almost surely, 2^73872902880 is an apocalyptic number.

73872902880 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 73872902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159825415680).

73872902880 is an abundant number, since it is smaller than the sum of its proper divisors (245777928480).

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

73872902880 is a wasteful number, since it uses less digits than its factorization.

73872902880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 73872902880 in words is "seventy-three billion, eight hundred seventy-two million, nine hundred two thousand, eight hundred eighty".