71939750400 has 960 divisors, whose sum is σ = 305419023360. Its totient is φ = 16245964800.

The previous prime is 71939750383. The next prime is 71939750417. The reversal of 71939750400 is 405793917.

71939750400 is a `hidden beast` number, since 7 + 193 + 9 + 7 + 50 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (71939750383) and next prime (71939750417).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×71939750400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316915087 + ... + 316915313.

It is an arithmetic number, because the mean of its divisors is an integer number (318144816).

Almost surely, 2^71939750400 is an apocalyptic number.

71939750400 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 71939750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152709511680).

71939750400 is an abundant number, since it is smaller than the sum of its proper divisors (233479272960).

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

71939750400 is a wasteful number, since it uses less digits than its factorization.

71939750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 71939750400 in words is "seventy-one billion, nine hundred thirty-nine million, seven hundred fifty thousand, four hundred".