72834031480 has 32 divisors (see below), whose sum is σ = 187287510240. Its totient is φ = 24971667840.

The previous prime is 72834031471. The next prime is 72834031489. The reversal of 72834031480 is 8413043827.

It is an interprime number because it is at equal distance from previous prime (72834031471) and next prime (72834031489).

It is a super-3 number, since 3×72834031480³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72834031489) 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, 130060491 + ... + 130061050.

It is an arithmetic number, because the mean of its divisors is an integer number (5852734695).

Almost surely, 2^72834031480 is an apocalyptic number.

72834031480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72834031480 is an abundant number, since it is smaller than the sum of its proper divisors (114453478760).

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

72834031480 is a wasteful number, since it uses less digits than its factorization.

72834031480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260121559 (or 260121555 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 72834031480 in words is "seventy-two billion, eight hundred thirty-four million, thirty-one thousand, four hundred eighty".