72614048 has 48 divisors (see below), whose sum is σ = 162076320. Its totient is φ = 31746816.

The previous prime is 72614041. The next prime is 72614071. The reversal of 72614048 is 84041627.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (72614041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3311 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (3376590).

Almost surely, 2^72614048 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 72614048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81038160).

72614048 is an abundant number, since it is smaller than the sum of its proper divisors (89462272).

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

72614048 is a wasteful number, since it uses less digits than its factorization.

72614048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9229 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 72614048 is about 8521.3876804192. The cubic root of 72614048 is about 417.1960769922.

The spelling of 72614048 in words is "seventy-two million, six hundred fourteen thousand, forty-eight".