71655948 has 192 divisors, whose sum is σ = 239339520. Its totient is φ = 18019584.

The previous prime is 71655943. The next prime is 71655953. The reversal of 71655948 is 84955617.

It is an interprime number because it is at equal distance from previous prime (71655943) and next prime (71655953).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (71655943) 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, 225886 + ... + 226202.

It is an arithmetic number, because the mean of its divisors is an integer number (1246560).

Almost surely, 2^71655948 is an apocalyptic number.

71655948 is a gapful number since it is divisible by the number (78) 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 71655948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119669760).

71655948 is an abundant number, since it is smaller than the sum of its proper divisors (167683572).

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

71655948 is a wasteful number, since it uses less digits than its factorization.

71655948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 71655948 is about 8464.9836384957. The cubic root of 71655948 is about 415.3530609459.

The spelling of 71655948 in words is "seventy-one million, six hundred fifty-five thousand, nine hundred forty-eight".