71612800 has 192 divisors, whose sum is σ = 212486400. Its totient is φ = 23316480.

The previous prime is 71612791. The next prime is 71612809. The reversal of 71612800 is 821617.

It is an interprime number because it is at equal distance from previous prime (71612791) and next prime (71612809).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71612809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515131 + ... + 515269.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^71612800 is an apocalyptic number.

71612800 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 71612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

71612800 is an abundant number, since it is smaller than the sum of its proper divisors (140873600).

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

71612800 is a wasteful number, since it uses less digits than its factorization.

71612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 71612800 is about 8462.4346378569. The cubic root of 71612800 is about 415.2696752080.

It can be divided in two parts, 7 and 1612800, that multiplied together give a square (11289600 = 3360²).

The spelling of 71612800 in words is "seventy-one million, six hundred twelve thousand, eight hundred".