726742400 has 96 divisors (see below), whose sum is σ = 1889927400. Its totient is φ = 275374080.

The previous prime is 726742363. The next prime is 726742403. The reversal of 726742400 is 4247627.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726742403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54824 + ... + 66776.

Almost surely, 2^726742400 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 726742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944963700).

726742400 is an abundant number, since it is smaller than the sum of its proper divisors (1163185000).

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

726742400 is a wasteful number, since it uses less digits than its factorization.

726742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11996 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 726742400 is about 26958.1601746113. The cubic root of 726742400 is about 899.0699858037.

The spelling of 726742400 in words is "seven hundred twenty-six million, seven hundred forty-two thousand, four hundred".