71672256 has 224 divisors, whose sum is σ = 231648000. Its totient is φ = 21648384.

The previous prime is 71672239. The next prime is 71672257. The reversal of 71672256 is 65227617.

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

Its product of digits (35280) is a multiple of the sum of its prime divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 71672256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71672257) 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, 1214755 + ... + 1214813.

Almost surely, 2^71672256 is an apocalyptic number.

71672256 is a gapful number since it is divisible by the number (76) 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 71672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824000).

71672256 is an abundant number, since it is smaller than the sum of its proper divisors (159975744).

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

71672256 is a wasteful number, since it uses less digits than its factorization.

71672256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 71672256 is about 8465.9468460415. The cubic root of 71672256 is about 415.3845682811.

The spelling of 71672256 in words is "seventy-one million, six hundred seventy-two thousand, two hundred fifty-six".