71402400 has 216 divisors, whose sum is σ = 258358464. Its totient is φ = 18547200.

The previous prime is 71402377. The next prime is 71402413. The reversal of 71402400 is 420417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338295 + ... + 338505.

It is an arithmetic number, because the mean of its divisors is an integer number (1196104).

Almost surely, 2^71402400 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 71402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129179232).

71402400 is an abundant number, since it is smaller than the sum of its proper divisors (186956064).

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

71402400 is a wasteful number, since it uses less digits than its factorization.

71402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 71402400 is about 8449.9940828382. The cubic root of 71402400 is about 414.8625857525.

Adding to 71402400 its reverse (420417), we get a palindrome (71822817).

The spelling of 71402400 in words is "seventy-one million, four hundred two thousand, four hundred".