71672113094400 has 3240 divisors, whose sum is σ = 334793436848640. Its totient is φ = 14994178375680.

The previous prime is 71672113094377. The next prime is 71672113094437. The reversal of 71672113094400 is 449031127617.

It is a happy number.

71672113094400 is a `hidden beast` number, since 7 + 1 + 6 + 7 + 21 + 130 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×71672113094400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 41938040746 + ... + 41938042454.

Almost surely, 2^{71672113094400} is an apocalyptic number.

71672113094400 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 71672113094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167396718424320).

71672113094400 is an abundant number, since it is smaller than the sum of its proper divisors (263121323754240).

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

71672113094400 is a wasteful number, since it uses less digits than its factorization.

71672113094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 71672113094400 in words is "seventy-one trillion, six hundred seventy-two billion, one hundred thirteen million, ninety-four thousand, four hundred".