72674156100 has 288 divisors, whose sum is σ = 261366771456. Its totient is φ = 15181056000.

The previous prime is 72674156083. The next prime is 72674156117. The reversal of 72674156100 is 165147627.

It is an interprime number because it is at equal distance from previous prime (72674156083) and next prime (72674156117).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2744122 + ... + 2770478.

It is an arithmetic number, because the mean of its divisors is an integer number (907523512).

Almost surely, 2^72674156100 is an apocalyptic number.

72674156100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72674156100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130683385728).

72674156100 is an abundant number, since it is smaller than the sum of its proper divisors (188692615356).

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

72674156100 is a wasteful number, since it uses less digits than its factorization.

72674156100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26495 (or 26488 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 72674156100 in words is "seventy-two billion, six hundred seventy-four million, one hundred fifty-six thousand, one hundred".