732947040 has 576 divisors, whose sum is σ = 3113510400. Its totient is φ = 153280512.

The previous prime is 732946979. The next prime is 732947051. The reversal of 732947040 is 40749237.

It is a super-2 number, since 2×732947040² = 1074422726889523200, which contains 22 as substring.

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 = 732946986 and 732947004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8235316 + ... + 8235404.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^732947040 is an apocalyptic number.

732947040 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 732947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556755200).

732947040 is an abundant number, since it is smaller than the sum of its proper divisors (2380563360).

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

732947040 is a wasteful number, since it uses less digits than its factorization.

732947040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 732947040 is about 27072.9946625784. The cubic root of 732947040 is about 901.6213735952.

The spelling of 732947040 in words is "seven hundred thirty-two million, nine hundred forty-seven thousand, forty".