71295720 has 128 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 18063360.

The previous prime is 71295713. The next prime is 71295727. The reversal of 71295720 is 2759217.

It is an interprime number because it is at equal distance from previous prime (71295713) and next prime (71295727).

It is not an unprimeable number, because it can be changed into a prime (71295727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211392 + ... + 211728.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 2^71295720 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 71295720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

71295720 is an abundant number, since it is smaller than the sum of its proper divisors (153568920).

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

71295720 is a wasteful number, since it uses less digits than its factorization.

71295720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 71295720 is about 8443.6792928202. The cubic root of 71295720 is about 414.6558718782.

The spelling of 71295720 in words is "seventy-one million, two hundred ninety-five thousand, seven hundred twenty".