75972400 has 120 divisors (see below), whose sum is σ = 213787904. Its totient is φ = 25401600.

The previous prime is 75972383. The next prime is 75972401. The reversal of 75972400 is 427957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75972401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120085 + ... + 120715.

Almost surely, 2^75972400 is an apocalyptic number.

75972400 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 75972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106893952).

75972400 is an abundant number, since it is smaller than the sum of its proper divisors (137815504).

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

75972400 is a wasteful number, since it uses less digits than its factorization.

75972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 75972400 is about 8716.2147747747. The cubic root of 75972400 is about 423.5310764580.

The spelling of 75972400 in words is "seventy-five million, nine hundred seventy-two thousand, four hundred".