73525190400 has 972 divisors, whose sum is σ = 291828478032. Its totient is φ = 18274222080.

The previous prime is 73525190393. The next prime is 73525190413. The reversal of 73525190400 is 409152537.

73525190400 is a `hidden beast` number, since 7 + 3 + 525 + 1 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 713836749 + ... + 713836851.

Almost surely, 2^73525190400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73525190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145914239016).

73525190400 is an abundant number, since it is smaller than the sum of its proper divisors (218303287632).

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

73525190400 is an equidigital number, since it uses as much as digits as its factorization.

73525190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 73525190400 in words is "seventy-three billion, five hundred twenty-five million, one hundred ninety thousand, four hundred".