726471900 has 324 divisors, whose sum is σ = 2863472976. Its totient is φ = 150796800.

The previous prime is 726471883. The next prime is 726471919. The reversal of 726471900 is 9174627.

It is a happy number.

726471900 is a `hidden beast` number, since 7 + 2 + 647 + 1 + 9 + 0 + 0 = 666.

726471900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×726471900² = 1055522842979220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 761824 + ... + 762776.

Almost surely, 2^726471900 is an apocalyptic number.

726471900 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 726471900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431736488).

726471900 is an abundant number, since it is smaller than the sum of its proper divisors (2137001076).

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

726471900 is a wasteful number, since it uses less digits than its factorization.

726471900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 726471900 is about 26953.1426739072. The cubic root of 726471900 is about 898.9584246734.

It can be divided in two parts, 72647 and 1900, that added together give a palindrome (74547).

The spelling of 726471900 in words is "seven hundred twenty-six million, four hundred seventy-one thousand, nine hundred".