7272498816 has 640 divisors, whose sum is σ = 26018910720. Its totient is φ = 2007244800.

The previous prime is 7272498803. The next prime is 7272498829. The reversal of 7272498816 is 6188942727.

It is a happy number.

7272498816 is a `hidden beast` number, since 7 + 2 + 72 + 498 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7272498803) and next prime (7272498829).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2709504) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 234596721 + ... + 234596751.

It is an arithmetic number, because the mean of its divisors is an integer number (40654548).

Almost surely, 2^7272498816 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 7272498816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009455360).

7272498816 is an abundant number, since it is smaller than the sum of its proper divisors (18746411904).

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

7272498816 is a wasteful number, since it uses less digits than its factorization.

7272498816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 7272498816 is about 85278.9470854325. The cubic root of 7272498816 is about 1937.4383250905.

The spelling of 7272498816 in words is "seven billion, two hundred seventy-two million, four hundred ninety-eight thousand, eight hundred sixteen".