71626672 has 80 divisors (see below), whose sum is σ = 157927392. Its totient is φ = 31242240.

The previous prime is 71626613. The next prime is 71626673. The reversal of 71626672 is 27662617.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (71626673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315423 + ... + 315649.

Almost surely, 2^71626672 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 71626672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78963696).

71626672 is an abundant number, since it is smaller than the sum of its proper divisors (86300720).

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

71626672 is a wasteful number, since it uses less digits than its factorization.

71626672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 71626672 is about 8463.2542204521. The cubic root of 71626672 is about 415.2964872166.

The spelling of 71626672 in words is "seventy-one million, six hundred twenty-six thousand, six hundred seventy-two".