72361040 has 20 divisors (see below), whose sum is σ = 168239604. Its totient is φ = 28944384.

The previous prime is 72361007. The next prime is 72361043. The reversal of 72361040 is 4016327.

It can be written as a sum of positive squares in 2 ways, for example, as 7268416 + 65092624 = 2696^2 + 8068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×72361040² = 10472240219763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72360997 and 72361015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72361043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452177 + ... + 452336.

Almost surely, 2^72361040 is an apocalyptic number.

It is an amenable number.

72361040 is an abundant number, since it is smaller than the sum of its proper divisors (95878564).

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

72361040 is a wasteful number, since it uses less digits than its factorization.

72361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904526 (or 904520 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 72361040 is about 8506.5292569884. The cubic root of 72361040 is about 416.7109698670.

Adding to 72361040 its reverse (4016327), we get a palindrome (76377367).

It can be divided in two parts, 723610 and 40, that multiplied together give a square (28944400 = 5380²).

The spelling of 72361040 in words is "seventy-two million, three hundred sixty-one thousand, forty".