726269040 has 240 divisors, whose sum is σ = 2884190400. Its totient is φ = 160247808.

The previous prime is 726269029. The next prime is 726269057. The reversal of 726269040 is 40962627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 726268986 and 726269004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143676 + ... + 148644.

It is an arithmetic number, because the mean of its divisors is an integer number (12017460).

Almost surely, 2^726269040 is an apocalyptic number.

726269040 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 726269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442095200).

726269040 is an abundant number, since it is smaller than the sum of its proper divisors (2157921360).

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

726269040 is a wasteful number, since it uses less digits than its factorization.

726269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 726269040 is about 26949.3792136294. The cubic root of 726269040 is about 898.8747418390.

The spelling of 726269040 in words is "seven hundred twenty-six million, two hundred sixty-nine thousand, forty".