71750400 has 216 divisors, whose sum is σ = 245598864. Its totient is φ = 18432000.

The previous prime is 71750389. The next prime is 71750401. The reversal of 71750400 is 405717.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71750401) 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, 710350 + ... + 710450.

Almost surely, 2^71750400 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 71750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122799432).

71750400 is an abundant number, since it is smaller than the sum of its proper divisors (173848464).

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

71750400 is a wasteful number, since it uses less digits than its factorization.

71750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 71750400 is about 8470.5607842692. The cubic root of 71750400 is about 415.5354775437.

The spelling of 71750400 in words is "seventy-one million, seven hundred fifty thousand, four hundred".