71628480 has 672 divisors, whose sum is σ = 342351360. Its totient is φ = 13271040.

The previous prime is 71628467. The next prime is 71628481. The reversal of 71628480 is 8482617.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×71628480² = 10261278294220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71628481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769911 + ... + 3769929.

Almost surely, 2^71628480 is an apocalyptic number.

71628480 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 71628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

71628480 is an abundant number, since it is smaller than the sum of its proper divisors (270722880).

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

71628480 is a wasteful number, since it uses less digits than its factorization.

71628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 71628480 is about 8463.3610344827. The cubic root of 71628480 is about 415.2999814909.

The spelling of 71628480 in words is "seventy-one million, six hundred twenty-eight thousand, four hundred eighty".