71497800 has 288 divisors, whose sum is σ = 275071680. Its totient is φ = 16473600.

The previous prime is 71497757. The next prime is 71497807. The reversal of 71497800 is 879417.

It is a super-2 number, since 2×71497800² = 10223870809680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71497807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455322 + ... + 455478.

It is an arithmetic number, because the mean of its divisors is an integer number (955110).

Almost surely, 2^71497800 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 71497800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137535840).

71497800 is an abundant number, since it is smaller than the sum of its proper divisors (203573880).

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

71497800 is a wasteful number, since it uses less digits than its factorization.

71497800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71497800 is about 8455.6371729161. The cubic root of 71497800 is about 415.0472680471.

The spelling of 71497800 in words is "seventy-one million, four hundred ninety-seven thousand, eight hundred".