71498400 has 144 divisors (see below), whose sum is σ = 240484608. Its totient is φ = 18451200.

The previous prime is 71498389. The next prime is 71498411. The reversal of 71498400 is 489417.

It is an interprime number because it is at equal distance from previous prime (71498389) and next prime (71498411).

It is a super-2 number, since 2×71498400² = 10224042405120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2306385 + ... + 2306415.

It is an arithmetic number, because the mean of its divisors is an integer number (1670032).

Almost surely, 2^71498400 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 71498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120242304).

71498400 is an abundant number, since it is smaller than the sum of its proper divisors (168986208).

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

71498400 is an equidigital number, since it uses as much as digits as its factorization.

71498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 71498400 is about 8455.6726521312. The cubic root of 71498400 is about 415.0484290509.

The spelling of 71498400 in words is "seventy-one million, four hundred ninety-eight thousand, four hundred".