72950976000 has 1280 divisors, whose sum is σ = 318256773120. Its totient is φ = 16124313600.

The previous prime is 72950975983. The next prime is 72950976017. The reversal of 72950976000 is 67905927.

72950976000 is a `hidden beast` number, since 72 + 9 + 509 + 76 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72950975983) and next prime (72950976017).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447551919 + ... + 447552081.

It is an arithmetic number, because the mean of its divisors is an integer number (248638104).

Almost surely, 2^72950976000 is an apocalyptic number.

72950976000 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 72950976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159128386560).

72950976000 is an abundant number, since it is smaller than the sum of its proper divisors (245305797120).

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

72950976000 is a wasteful number, since it uses less digits than its factorization.

72950976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 72950976000 in words is "seventy-two billion, nine hundred fifty million, nine hundred seventy-six thousand".