72848496 has 120 divisors (see below), whose sum is σ = 223914240. Its totient is φ = 20340096.

The previous prime is 72848491. The next prime is 72848509. The reversal of 72848496 is 69484827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72848491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110215 + ... + 110873.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^72848496 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 72848496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

72848496 is an abundant number, since it is smaller than the sum of its proper divisors (151065744).

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

72848496 is a wasteful number, since it uses less digits than its factorization.

72848496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 718 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 72848496 is about 8535.1330393849. The cubic root of 72848496 is about 417.6445930859.

The spelling of 72848496 in words is "seventy-two million, eight hundred forty-eight thousand, four hundred ninety-six".