71372664 has 320 divisors, whose sum is σ = 250905600. Its totient is φ = 18662400.

The previous prime is 71372663. The next prime is 71372669. The reversal of 71372664 is 46627317.

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

Its product of digits (42336) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71372663) 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 79 ways as a sum of consecutive naturals, for example, 2302329 + ... + 2302359.

It is an arithmetic number, because the mean of its divisors is an integer number (784080).

Almost surely, 2^71372664 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 71372664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

71372664 is an abundant number, since it is smaller than the sum of its proper divisors (179532936).

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

71372664 is a wasteful number, since it uses less digits than its factorization.

71372664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 71372664 is about 8448.2343717489. The cubic root of 71372664 is about 414.8049870034.

It can be divided in two parts, 7137 and 2664, that added together give a square (9801 = 99²).

The spelling of 71372664 in words is "seventy-one million, three hundred seventy-two thousand, six hundred sixty-four".