71253000 has 512 divisors, whose sum is σ = 314496000. Its totient is φ = 14515200.

The previous prime is 71252981. The next prime is 71253019. The reversal of 71253000 is 35217.

It is an interprime number because it is at equal distance from previous prime (71252981) and next prime (71253019).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-3 number, since 3×71253000³ (a number of 25 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 2456986 + ... + 2457014.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^71253000 is an apocalyptic number.

71253000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

71253000 is an abundant number, since it is smaller than the sum of its proper divisors (243243000).

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

71253000 is a wasteful number, since it uses less digits than its factorization.

71253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 71253000 is about 8441.1492108599. The cubic root of 71253000 is about 414.5730354981.

Adding to 71253000 its reverse (35217), we get a palindrome (71288217).

The spelling of 71253000 in words is "seventy-one million, two hundred fifty-three thousand".