72672336147100 has 36 divisors (see below), whose sum is σ = 157699693620504. Its totient is φ = 29068800969280.

The previous prime is 72672336147091. The next prime is 72672336147109. The reversal of 72672336147100 is 174163327627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72672336147091) and next prime (72672336147109).

It is a super-3 number, since 3×72672336147100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72672336147109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21868179 + ... + 24971221.

It is an arithmetic number, because the mean of its divisors is an integer number (4380547045014).

Almost surely, 2^{72672336147100} is an apocalyptic number.

It is an amenable number.

72672336147100 is an abundant number, since it is smaller than the sum of its proper divisors (85027357473404).

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

72672336147100 is a wasteful number, since it uses less digits than its factorization.

72672336147100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337254 (or 3337247 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 49.

The spelling of 72672336147100 in words is "seventy-two trillion, six hundred seventy-two billion, three hundred thirty-six million, one hundred forty-seven thousand, one hundred".