75156400 has 240 divisors, whose sum is σ = 221414400. Its totient is φ = 24192000.

The previous prime is 75156391. The next prime is 75156407. The reversal of 75156400 is 465157.

It is not an unprimeable number, because it can be changed into a prime (75156407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2424385 + ... + 2424415.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^75156400 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 75156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

75156400 is an abundant number, since it is smaller than the sum of its proper divisors (146258000).

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

75156400 is a wasteful number, since it uses less digits than its factorization.

75156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 75156400 is about 8669.2790934425. The cubic root of 75156400 is about 422.0092688305.

The spelling of 75156400 in words is "seventy-five million, one hundred fifty-six thousand, four hundred".