72175790400 has 336 divisors, whose sum is σ = 274060554240. Its totient is φ = 16287897600.

The previous prime is 72175790399. The next prime is 72175790429. The reversal of 72175790400 is 409757127.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2640805 + ... + 2667995.

Almost surely, 2^72175790400 is an apocalyptic number.

72175790400 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 72175790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137030277120).

72175790400 is an abundant number, since it is smaller than the sum of its proper divisors (201884763840).

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

72175790400 is a wasteful number, since it uses less digits than its factorization.

72175790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27302 (or 27287 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 72175790400 in words is "seventy-two billion, one hundred seventy-five million, seven hundred ninety thousand, four hundred".