72615378 has 64 divisors (see below), whose sum is σ = 169113600. Its totient is φ = 20554560.

The previous prime is 72615377. The next prime is 72615379. The reversal of 72615378 is 87351627.

It is an interprime number because it is at equal distance from previous prime (72615377) and next prime (72615379).

It is not an unprimeable number, because it can be changed into a prime (72615373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98700 + ... + 99432.

It is an arithmetic number, because the mean of its divisors is an integer number (2642400).

Almost surely, 2^72615378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72615378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84556800).

72615378 is an abundant number, since it is smaller than the sum of its proper divisors (96498222).

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

72615378 is a wasteful number, since it uses less digits than its factorization.

72615378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847.

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

The square root of 72615378 is about 8521.4657189946. The cubic root of 72615378 is about 417.1986240998.

The spelling of 72615378 in words is "seventy-two million, six hundred fifteen thousand, three hundred seventy-eight".