71964672 has 192 divisors, whose sum is σ = 222899040. Its totient is φ = 20447232.

The previous prime is 71964649. The next prime is 71964703. The reversal of 71964672 is 27646917.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (127008) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357798 + ... + 1357850.

Almost surely, 2^71964672 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 71964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

71964672 is an abundant number, since it is smaller than the sum of its proper divisors (150934368).

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

71964672 is a wasteful number, since it uses less digits than its factorization.

71964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 71964672 is about 8483.1993964541. The cubic root of 71964672 is about 415.9487116257.

The spelling of 71964672 in words is "seventy-one million, nine hundred sixty-four thousand, six hundred seventy-two".