72393438 has 32 divisors (see below), whose sum is σ = 156996000. Its totient is φ = 22121856.

The previous prime is 72393437. The next prime is 72393449. The reversal of 72393438 is 83439327.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 72393396 and 72393405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72393437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8508 + ... + 14736.

It is an arithmetic number, because the mean of its divisors is an integer number (4906125).

Almost surely, 2^72393438 is an apocalyptic number.

72393438 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72393438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78498000).

72393438 is an abundant number, since it is smaller than the sum of its proper divisors (84602562).

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

72393438 is a wasteful number, since it uses less digits than its factorization.

72393438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396.

The product of its digits is 108864, while the sum is 39.

The square root of 72393438 is about 8508.4333458046. The cubic root of 72393438 is about 416.7731515218.

The spelling of 72393438 in words is "seventy-two million, three hundred ninety-three thousand, four hundred thirty-eight".