72615738 has 64 divisors (see below), whose sum is σ = 172876032. Its totient is φ = 20106240.

The previous prime is 72615737. The next prime is 72615757. The reversal of 72615738 is 83751627.

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 = 72615696 and 72615705.

It is not an unprimeable number, because it can be changed into a prime (72615731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29308 + ... + 31688.

It is an arithmetic number, because the mean of its divisors is an integer number (2701188).

Almost surely, 2^72615738 is an apocalyptic number.

72615738 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 72615738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86438016).

72615738 is an abundant number, since it is smaller than the sum of its proper divisors (100260294).

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

72615738 is a wasteful number, since it uses less digits than its factorization.

72615738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439.

The product of its digits is 70560, while the sum is 39.

The square root of 72615738 is about 8521.4868420951. The cubic root of 72615738 is about 417.1993135372.

The spelling of 72615738 in words is "seventy-two million, six hundred fifteen thousand, seven hundred thirty-eight".