71825400 has 192 divisors, whose sum is σ = 253555200. Its totient is φ = 18679680.

The previous prime is 71825387. The next prime is 71825417. The reversal of 71825400 is 452817.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253659 + ... + 253941.

It is an arithmetic number, because the mean of its divisors is an integer number (1320600).

Almost surely, 2^71825400 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 71825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126777600).

71825400 is an abundant number, since it is smaller than the sum of its proper divisors (181729800).

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

71825400 is a wasteful number, since it uses less digits than its factorization.

71825400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 71825400 is about 8474.9867256533. The cubic root of 71825400 is about 415.6802121990.

The spelling of 71825400 in words is "seventy-one million, eight hundred twenty-five thousand, four hundred".