73612022400 has 960 divisors, whose sum is σ = 321385680000. Its totient is φ = 16233799680.

The previous prime is 73612022381. The next prime is 73612022401. The reversal of 73612022400 is 422021637.

73612022400 is a `hidden beast` number, since 7 + 3 + 612 + 0 + 2 + 2 + 40 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73612022401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52616901 + ... + 52618299.

It is an arithmetic number, because the mean of its divisors is an integer number (334776750).

Almost surely, 2^73612022400 is an apocalyptic number.

73612022400 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 73612022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160692840000).

73612022400 is an abundant number, since it is smaller than the sum of its proper divisors (247773657600).

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

73612022400 is a wasteful number, since it uses less digits than its factorization.

73612022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 73612022400 in words is "seventy-three billion, six hundred twelve million, twenty-two thousand, four hundred".