72605030400 has 1440 divisors, whose sum is σ = 319986707040. Its totient is φ = 15925248000.

The previous prime is 72605030383. The next prime is 72605030447. The reversal of 72605030400 is 403050627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1190246370 + ... + 1190246430.

It is an arithmetic number, because the mean of its divisors is an integer number (222212991).

Almost surely, 2^72605030400 is an apocalyptic number.

72605030400 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 72605030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159993353520).

72605030400 is an abundant number, since it is smaller than the sum of its proper divisors (247381676640).

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

72605030400 is a wasteful number, since it uses less digits than its factorization.

72605030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 72605030400 in words is "seventy-two billion, six hundred five million, thirty thousand, four hundred".