726005952 has 252 divisors, whose sum is σ = 2507010480. Its totient is φ = 200051712.

The previous prime is 726005887. The next prime is 726005989. The reversal of 726005952 is 259500627.

726005952 is a `hidden beast` number, since 7 + 2 + 60 + 0 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 818053 + ... + 818939.

Almost surely, 2^726005952 is an apocalyptic number.

726005952 is a gapful number since it is divisible by the number (72) 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 726005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253505240).

726005952 is an abundant number, since it is smaller than the sum of its proper divisors (1781004528).

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

726005952 is a wasteful number, since it uses less digits than its factorization.

726005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 928 counting only the distinct ones).

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

The square root of 726005952 is about 26944.4976201079. The cubic root of 726005952 is about 898.7661908265.

The spelling of 726005952 in words is "seven hundred twenty-six million, five thousand, nine hundred fifty-two".