75124720400 has 120 divisors (see below), whose sum is σ = 197694344520. Its totient is φ = 27306926080.

The previous prime is 75124720397. The next prime is 75124720409. The reversal of 75124720400 is 402742157.

It can be written as a sum of positive squares in 12 ways, for example, as 26285488384 + 48839232016 = 162128^2 + 220996^2 .

It is not an unprimeable number, because it can be changed into a prime (75124720409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6722 + ... + 387678.

It is an arithmetic number, because the mean of its divisors is an integer number (1647452871).

Almost surely, 2^75124720400 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 75124720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98847172260).

75124720400 is an abundant number, since it is smaller than the sum of its proper divisors (122569624120).

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

75124720400 is a wasteful number, since it uses less digits than its factorization.

75124720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381021 (or 381010 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The spelling of 75124720400 in words is "seventy-five billion, one hundred twenty-four million, seven hundred twenty thousand, four hundred".