71379672 has 256 divisors, whose sum is σ = 241920000. Its totient is φ = 17385984.

The previous prime is 71379667. The next prime is 71379677. The reversal of 71379672 is 27697317.

It is an interprime number because it is at equal distance from previous prime (71379667) and next prime (71379677).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71379677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2461354 + ... + 2461382.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^71379672 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 71379672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

71379672 is an abundant number, since it is smaller than the sum of its proper divisors (170540328).

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

71379672 is a wasteful number, since it uses less digits than its factorization.

71379672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its digits is 111132, while the sum is 42.

The square root of 71379672 is about 8448.6491227888. The cubic root of 71379672 is about 414.8185629677.

The spelling of 71379672 in words is "seventy-one million, three hundred seventy-nine thousand, six hundred seventy-two".