72758476800 has 1080 divisors, whose sum is σ = 292836319776. Its totient is φ = 17836277760.

The previous prime is 72758476793. The next prime is 72758476801. The reversal of 72758476800 is 867485727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×72758476800² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72758476801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1692057579 + ... + 1692057621.

Almost surely, 2^72758476800 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 72758476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146418159888).

72758476800 is an abundant number, since it is smaller than the sum of its proper divisors (220077842976).

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

72758476800 is an equidigital number, since it uses as much as digits as its factorization.

72758476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 72758476800 in words is "seventy-two billion, seven hundred fifty-eight million, four hundred seventy-six thousand, eight hundred".