72314040 has 64 divisors (see below), whose sum is σ = 217740960. Its totient is φ = 19212800.

The previous prime is 72314027. The next prime is 72314069. The reversal of 72314040 is 4041327.

It is a super-2 number, since 2×72314040² = 10458640762243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72313998 and 72314016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37090 + ... + 38990.

Almost surely, 2^72314040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108870480).

72314040 is an abundant number, since it is smaller than the sum of its proper divisors (145426920).

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

72314040 is a wasteful number, since it uses less digits than its factorization.

72314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72314040 is about 8503.7662244443. The cubic root of 72314040 is about 416.6207295134.

Adding to 72314040 its reverse (4041327), we get a palindrome (76355367).

The spelling of 72314040 in words is "seventy-two million, three hundred fourteen thousand, forty".