72742098 has 64 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 20175360.

The previous prime is 72742067. The next prime is 72742147. The reversal of 72742098 is 89024727.

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 31 ways as a sum of consecutive naturals, for example, 127558 + ... + 128126.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2^72742098 is an apocalyptic number.

72742098 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72742098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

72742098 is an abundant number, since it is smaller than the sum of its proper divisors (99625902).

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

72742098 is a wasteful number, since it uses less digits than its factorization.

72742098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 72742098 is about 8528.8978185930. The cubic root of 72742098 is about 417.4411654099.

The spelling of 72742098 in words is "seventy-two million, seven hundred forty-two thousand, ninety-eight".